Properties of the Number 17981

Seventeen Thousand Nine Hundred Eighty-One

Basics

Value: 17980 → 17981 → 17982

Parity: odd

Prime: Yes

Previous Prime: 17977

Next Prime: 17987

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 17981

Divisors: 1, 17981

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011000111101

Octal: 43075

Duodecimal: A4A5

Hexadecimal: 463d

Square: 323316361

Square Root: 134.09325113517085

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 of n in which the sequence of frequencies of the summands is nondecreasing. A100883

24 'Reverse and Add' steps are needed to reach a palindrome. A65318

T(n,k)=Number of -k..k arrays of n elements with adjacent element differences also in -k..k. A201042

Denominators of upper primes-only best approximates (POBAs) to π; see Comments. A265811

Sum of numerator and denominator in a rational approximation j/k of q = log(2)/log(3), such that q - j/k is a new minimum, i.e., q is approximated from below. A355514

Primes of the form 666·k - 1. A63472

Number of base 5 n-digit numbers with adjacent digits differing by two or less. A126392

Array read by antidiagonals: T(m,n) = number of m-ary words of length n with adjacent elements differing by 2 or less. A285266

Number of 6-cycles in the n-triangular honeycomb obtuse knight graph. A290392

Numbers k such that the k-th triangular number contains only digits {1,6,7}. A119141