Properties of the Number 17957

Seventeen Thousand Nine Hundred Fifty-Seven

Basics

Value: 17956 → 17957 → 17958

Parity: odd

Prime: Yes

Previous Prime: 17939

Next Prime: 17959

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 17957

Divisors: 1, 17957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011000100101

Octal: 43045

Duodecimal: A485

Hexadecimal: 4625

Square: 322453849

Square Root: 134.00373129133382

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

Primes of the form k² + 1. A2496

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3. A146348

Numbers k such that (4·10^k-1 - 7)/3 is a plateau prime. A82697

Least k>p such that (kp)³ divides (p-1)^kp²+1 for prime p = A000040(n). A128677

Primes of the form 4·k² + 1. A121326

Numbers k that divide the number of partitions of k into distinct parts (A000009). A56848

Primes of form 4·p² + 1, p prime. A52292

Odd powers of primes of the form q = x² + 1 (A002496). A54755

Divisorial primes: primes p of the form p = 1 + ∏_d∣k d for some k. A258455