Properties of the Number 97864

Ninety-Seven Thousand Eight Hundred Sixty-Four

Basics

Value: 97863 → 97864 → 97865

Parity: even

Prime: No

Previous Prime: 97861

Next Prime: 97871

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 13 × 941

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 941, 1882

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111001001000

Octal: 277110

Duodecimal: 48774

Hexadecimal: 17e48

Square: 9577362496

Square Root: 312.8322234041755

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

Numbers n such that A005210(n) = 0. A51202

Numbers k such that k-3, k-5, k-17, k-257, and k-65537 are all primes. A63825

Number of -n..n arrays x(0..3) of 4 elements with zero sum, and adjacent elements not equal modulo three (with -1 modulo 3 = 2). A199911

Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316302

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316303

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316304

Matrix recurrence A[n] = M·A[n-1] with A[0] = [[0,1,1],[1,1,2],[1,2,4]] and M = [[0,1,0],[0,1,0],[1,1,1]], flattened. A97864