Sixteen
← 15 17 → 16 | |
|---|---|
← 10 11 12 13 14 15 16 17 18 19 → List of numbers — Integers 0 10 20 30 40 50 60 70 80 90 → | |
| Cardinal | sixteen |
| Ordinal | 16th (sixteenth) |
| Numeral system | hexadecimal |
| Factorization | 24 |
| Divisors | 1, 2, 4, 8, 16 |
| Roman numeral | XVI |
| Binary | 100002 |
| Octal | 208 |
| Duodecimal | 1412 |
| Hexadecimal | 1016 |
| Hebrew | ט"ז (Tet Zayin) |
Wiktionary, the free dictionary.
Sixteen is a composite number, and a square number, being 42 = 4 × 4. It is the tiniest number with exactly five divisors, its proper divisors being 1, 2, 4 and 8.
It is the fourth power of two. For this reason, 16 was used in weighing light objects in several cultures. The British used to have 16 ounces in one pound, the Chinese used to have 16 liangs in one jin. In old days, weighing was done with a beam balance to make equal splits. It would be easier to split a heap of grains into sixteen equal parts through successive divisions than to split into ten parts. Chinese Taoists did finger computation on the trigrams and hexagrams by counting the finger tips and joints of the fingers with the tip of the thumb. Each hand can count up to 16 in such manner. The Chinese abacus uses two upper beads to represent the 5's and 5 lower beads to represent the 1's, the 7 beads can represent from a hexadecimal digit from 0 to 15 in each column.
As a power of 2 it has an aliquot sum one less than itself; 15, and is the fifth composite member of the 3-aliquot tree having the 7 member aliquot sequence (16,15,9,4,3,1,0).
Sixteen is the first number to be the aliquot sum of a lesser number; 12, it is also the aliquot sum of the greater discrete biprime 26. It is the fourth power of two.
Sixteen is the only integer that equals mn and nm, for some unequal integral m and n (m=4, n=2, or vice versa). It has this property because 
. It is also equal to 2↑↑3, (using Knuth's up-arrow notation).
15 and 16 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.
Since it is possible to find sequences of 16 consecutive integers such that each inner member member shares a factor with either the first or the last member, 16 is an Erdős–Woods number. The smallest such range of 16 consecutive integers is from 2184 to 2200.
16 is a centered pentagonal number.
16 is the base of the hexadecimal number system, which is used extensively in computer science.
topSixteen
Sixteen is a composite number, and a square number, being 4 2 = 4 × 4. It is the tiniest number with exactly five divisors, its proper divisors being 1, 2, 4 and 8.
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