Properties of the Number 55944

Fifty-Five Thousand Nine Hundred Forty-Four

Basics

Value: 55943 → 55944 → 55945

Parity: even

Prime: No

Previous Prime: 55933

Next Prime: 55949

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 7 × 37

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101010001000

Octal: 155210

Duodecimal: 28460

Hexadecimal: da88

Square: 3129731136

Square Root: 236.5248401331243

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 n for which there exists k > n such that A000203(k) = A000203(n) and A007947(k) = A007947(n), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255334

a(n) = n*(n + 5)*(n + 10)*(n + 15)/24. A264446

Expansion of θ series of {E₇}* lattice in powers of q^1/2. A3781

Numbers with prime factorization p·q*r³*s³ (where p, q, r, s are distinct primes). A190108

Expansion of θ series of E₇ lattice in powers of q². A4008

Sums of 4 distinct powers of 6. A38480

a(n) = ∑_{k=0..floor(n/3)} binomial(k+3,3) * binomial(k,n-3·k)². A377150

Nonzero coefficients in θ series of {E₇}* lattice. A30443

Number of (n+1)X5 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases. A207046

Smallest area A of Heron triangles with sides (a, b, c) in arithmetic progression of the form b - d(n), b, b + d(n), where d(n) = A091998(n) = 12·n +- 1. A229098