Properties of the Number 23997

Twenty-Three Thousand Nine Hundred Ninety-Seven

Basics

Value: 23996 → 23997 → 23998

Parity: odd

Prime: No

Previous Prime: 23993

Next Prime: 24001

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 421

Divisors: 1, 3, 19, 57, 421, 1263, 7999, 23997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110110111101

Octal: 56675

Duodecimal: 11A79

Hexadecimal: 5dbd

Square: 575856009

Square Root: 154.90965108733542

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 integer partitions of n that have an even number of parts and cannot be partitioned into distinct pairs of not necessarily distinct parts. A338915

Solution of the complementary equation a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4) + b(n-4), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4, b(0) = 5, b(1) = 6, b(2) = 7, b(3) = 8, and (a(n)) and (b(n)) are increasing complementary sequences. A295620

a(n) = n*(n² + 1) if n is even, otherwise (n - 1/2)*(n² + 1). A71289

Number of nondecreasing arrangements of 5 numbers in -(n+3)..(n+3) with sum zero and not more than two numbers equal. A188238

a(n) is the smallest nonnegative integer m such that the integer part of tan(m) is equal to n. A327788

Denominators of the continued fraction convergents of the decimal concatenation of the twin prime pairs. A128849

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (0, 1, 0), (1, -1, 1), (1, 0, -1)}. A148485

a(n) = smallest prime p such that p is the home prime (cf. A037274) of exactly n natural numbers. A118756

Number of block permutations on an n-set. A23997

G.f. satisfies A(x) = (1 + x·A(x))² * (1 + x³*A(x)). A218251