Properties of the Number 42744

Forty-Two Thousand Seven Hundred Forty-Four

Basics

Value: 42743 → 42744 → 42745

Parity: even

Prime: No

Previous Prime: 42743

Next Prime: 42751

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 13 × 137

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011011111000

Octal: 123370

Duodecimal: 208A0

Hexadecimal: a6f8

Square: 1827049536

Square Root: 206.74622124720926

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that k² contains every digit at least once. A54038

a(n) is the solution to the postage stamp problem with 5 denominations and n stamps. A1210

Expansion of 1/(1-2·x+x⁵). A107066

Numbers n such that n² contains every decimal digit exactly once. A156977

List of different composites in Pascal-like triangles with index of asymmetry y = 3 and index of obliqueness z = 0 or z = 1. A141069

Expansion of (theta₃(z)*theta₃(19z) + theta₂(z)*theta₂(19z))⁴. A28644

Number of binary words of length n avoiding the subword given by the binary expansion of n. A234005

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [xⁿ * y^k] 1 / (1 - log(1-x) * log(1-y))². A382799

Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(8,16). A18922

Engel expansion of π^e = 22.4592. A59197