Properties of the Number 97005

Ninety-Seven Thousand Five

Basics

Value: 97004 → 97005 → 97006

Parity: odd

Prime: No

Previous Prime: 97003

Next Prime: 97007

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 29 × 223

Divisors: 1, 3, 5, 15, 29, 87, 145, 223, 435, 669

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111101011101101

Octal: 275355

Duodecimal: 48179

Hexadecimal: 17aed

Square: 9409970025

Square Root: 311.4562569607488

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

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s. A297457

a(n) = the least k such that the mixed binary-ternary representation of k has n terms. See Comments. A336006

Number of interior vertices formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) square grid. A331767

Number of n X 5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1's. A297454

Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s. A297461

Number of n X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1's. A297451

A062401(x) is iterated. Initial value = n!. a(n) is the path-length of trajectory = count of transients and recurrent terms, i.e., all distinct states arising in trajectory. A97005