Properties of the Number 54532

Fifty-Four Thousand Five Hundred Thirty-Two

Basics

Value: 54531 → 54532 → 54533

Parity: even

Prime: No

Previous Prime: 54521

Next Prime: 54539

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 13633

Divisors: 1, 2, 4, 13633, 27266, 54532

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010100000100

Octal: 152404

Duodecimal: 27684

Hexadecimal: d504

Square: 2973739024

Square Root: 233.52087701102872

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

Sum of the emergent parts of the partitions of n. A182709

Expansion of ∏_k>0 theta₄(q^k)/theta₃(q^k), where theta₃() and theta₄() are the Jacobi θ functions. A320970

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 1, -1), (1, 0, 0), (1, 1, 1)}. A150778

Ramanujan sum T(n, k) = c_k(n) = ∑_{m=1..k, (m,k)=1} exp(2*π*i·m*n / k), triangular array read by rows for n >= 1 and 1 <= k <= n. A54532