Properties of the Number 17825

Seventeen Thousand Eight Hundred Twenty-Five

Basics

Value: 17824 → 17825 → 17826

Parity: odd

Prime: No

Previous Prime: 17807

Next Prime: 17827

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 ² × 23 × 31

Divisors: 1, 5, 23, 25, 31, 115, 155, 575, 713, 775

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110100001

Octal: 42641

Duodecimal: A395

Hexadecimal: 45a1

Square: 317730625

Square Root: 133.51029922818688

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

Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5). A39900

Number of semi-sums of strict integer partitions of n. A366741

S₁₃ sequence in partition of integers > 1 described in A240521. A241025

Expansion of ∑_k>=1 k³ * x^k/(1 - x^k)³. A366135

Primitive terms of A389634. A389635

Numbers n such that h(n) = 2 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.) A78419

Numerator of Hermite(n, 31/32). A160443

Square array A(n,k) = A341527(A246278(n,k)), read by falling antidiagonals; denominators of the columnwise first quotients of A341605/A341606. A341627

E.g.f. A(x,k) satisfies: sn(A(x,k), k) = k·sn(x,k), where sn(,) and cn(,) are Jacobi Elliptic functions. A291527

Expansion of 1/(1-x³-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰-x¹¹-x¹²). A17825