Properties of the Number 61397

Sixty-One Thousand Three Hundred Ninety-Seven

Basics

Value: 61396 → 61397 → 61398

Parity: odd

Prime: No

Previous Prime: 61381

Next Prime: 61403

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 ³ × 179

Divisors: 1, 7, 49, 179, 343, 1253, 8771, 61397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111111010101

Octal: 167725

Duodecimal: 2B645

Hexadecimal: efd5

Square: 3769591609

Square Root: 247.78418028599

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 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207786

Number of n-length words w over a 9-ary alphabet such that w is empty or a prefix z concatenated with letter a_i and i=1 or 0 < #(z,a_i-1) >= #(z,a_i), where #(z,a_i) counts the occurrences of the i-th letter in z. A240615

A sequence of integers from an additive problem with prime numbers. A348472

Characteristic function sequence of primes multiplied componentwise by N, the natural numbers. A61397

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207785