| ||||
|---|---|---|---|---|
| Cardinal | forty-four | |||
| Ordinal | 44th (forty-fourth) | |||
| Factorization | 22 × 11 | |||
| Divisors | 1, 2, 4, 11, 22, 44 | |||
| Greek numeral | ΜΔ´ | |||
| Roman numeral | XLIV, xliv | |||
| Binary | 1011002 | |||
| Ternary | 11223 | |||
| Senary | 1126 | |||
| Octal | 548 | |||
| Duodecimal | 3812 | |||
| Hexadecimal | 2C16 | |||
44 (forty-four) is the natural number following 43 and preceding 45.
Forty-four is a repdigit and palindromic number in decimal. It is the tenth 10-happy number, [1] and the fourth octahedral number. [2]
It is a square-prime of the form p2 × q, and fourth of this form and of the form 22 × q, where q is a higher prime.
It is the first member of the first cluster of two square-primes; of the form p2 × q, specifically 22 × 11 = 44 and 32 × 5 = 45. The next such cluster of two square-primes comprises 22 × 29 = 116, and 32 × 13 = 117.
44 has an aliquot sum of 40, within an aliquot sequence of three composite numbers (44, 40, 50, 43, 1, 0) rooted in the prime 43-aliquot tree.
Since the greatest prime factor of 442 + 1 = 1937 is 149 and thus more than 44 twice, 44 is a Størmer number. [3] Given Euler's totient function, φ(44) = 20 and φ(69) = 44.
44 is a tribonacci number, preceded by 7, 13, and 24, whose sum it equals. [4]
44 is the number of derangements of 5 items. [5]
There are only 44 kinds of Schwarz triangles, aside from the infinite dihedral family of triangles (p 2 2) with p = {2, 3, 4, ...}. [6]
There are 44 distinct stellations of the truncated cube and truncated octahedron, per Miller's rules. [7]
44 four-dimensional crystallographic point groups of a total 227 contain dual enantiomorphs, or mirror images. [8]
There are forty-four classes of finite simple groups that arise from four general families of such groups:
Sometimes the Tits group is considered a 17th non-strict simple group of Lie type, or a 27th sporadic group, which would yield a total of 45 classes of finite simple groups.
Forty-four is: