Properties of the Number 70906

Seventy Thousand Nine Hundred Six

Basics

Value: 70905 → 70906 → 70907

Parity: even

Prime: No

Previous Prime: 70901

Next Prime: 70913

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 11 ² × 293

Divisors: 1, 2, 11, 22, 121, 242, 293, 586, 3223, 6446

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001010011111010

Octal: 212372

Duodecimal: 3504A

Hexadecimal: 114fa

Square: 5027660836

Square Root: 266.28180561202447

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

a(n) is the smallest k >= 2 such that k^2ⁿ+1 is prime, or -1 if no such k exists. A56993

Numbers b such that b^2¹⁵ + 1 is prime (a generalized Fermat prime). A226530

Number of (n+2) X (5+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101. A260606

Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101. A260607

Numbers n such that n | 11ⁿ + 9ⁿ + 7ⁿ + 5ⁿ + 3ⁿ + 1. A57832

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101. A260609

Every third Bell number A000110. A70906

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime. A251946

Number of primes of the form 1 + b³²⁷⁶⁸ for 1 < b < 10ⁿ. A215969