Properties of the Number 23697

Twenty-Three Thousand Six Hundred Ninety-Seven

Basics

Value: 23696 → 23697 → 23698

Parity: odd

Prime: No

Previous Prime: 23689

Next Prime: 23719

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2633

Divisors: 1, 3, 9, 2633, 7899, 23697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110010010001

Octal: 56221

Duodecimal: 11869

Hexadecimal: 5c91

Square: 561547809

Square Root: 153.93829932800998

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 winning length n strings with a 3-symbol alphabet in "same game". A35617

Sequence shifts left seven places under Weigh transform with a(n) = signum(n) for n<7. A316079

Number of distinct pairs a < b with nonzero decimal digits such that a + b = 10ⁿ. A117644

a(0)=1, a(1)=0, a(2)=2, a(3)=1, a(n)=a(n-2)+a(n-3)+a(n-4) for n>3. A167704

Constant term in the reduction of the polynomial 1+x+x²+...+xⁿ by x³->x²+2x+1. See Comments. A192805

Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value n+1. A211837

Square array T(b,m), read by descending antidiagonals: Number of winning length m strings with a b-symbol alphabet in "same game" (b >= 2, m >= 0). A323844

Numbers with exactly 6 1's in their ternary expansion. A23697