Properties of the Number 16457

Sixteen Thousand Four Hundred Fifty-Seven

Basics

Value: 16456 → 16457 → 16458

Parity: odd

Prime: No

Previous Prime: 16453

Next Prime: 16477

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 2351

Divisors: 1, 7, 2351, 16457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000001001001

Octal: 40111

Duodecimal: 9635

Hexadecimal: 4049

Square: 270832849

Square Root: 128.2848393225014

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 non-condensed integer partitions of n, or partitions where it is not possible to choose a different divisor of each part. A370320

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁷)). A288342

a(n) = 34·n² + 1. A158586

a(n) = 484·n + 1. A158326

Number of partitions of n with difference 3 between the number of odd parts and the number of even parts, both counted without multiplicity. A242694

Expansion of the continued fraction 1 / (1-q / (1-q-q² / (1-q-q²-q³ / (1-q-q²-q³-q⁴ / (...))))). A355040

Numbers k such that k!6 + 6 is prime, where k!6 is the sextuple factorial number (A085158 ). A287956

Numbers k such that 30·k - 1, 30·k + 1, 30·k² - 1 and 30·k² + 1 are all prime. A359184

Expansion of 1/((1-6x)(1-8x)(1-11x)(1-12x)). A28215

Numbers whose base-4 representation contains exactly four 0's and three 1's. A45036