Properties of the Number 12577

Twelve Thousand Five Hundred Seventy-Seven

Basics

Value: 12576 → 12577 → 12578

Parity: odd

Prime: Yes

Previous Prime: 12569

Next Prime: 12583

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 12577

Divisors: 1, 12577

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000100100001

Octal: 30441

Duodecimal: 7341

Hexadecimal: 3121

Square: 158180929

Square Root: 112.14722466472365

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

Primes with 10 as smallest positive primitive root. A61323

Number of integer partitions of n with the same length as alternating sum. A357189

Number of integer partitions of 2n - 1 with the same length as alternating sum. A357488

Primes of form n² + 256. A256776

Number of ways to pair up {1..2n} so sum of each pair is prime. A341

T(n,k)=Number of nXk 0..1 arrays with rows, diagonals and antidiagonals unimodal. A223669

Number of integer partitions of n with the same length as reverse-alternating sum. A357487

Prime number spiral (clockwise, West spoke). A54570

Primes p such that x⁸ = 2 has a solution mod p, but x^8² = 2 has no solution mod p. A70184

a(n) = 104·n + 9977. A126978