Properties of the Number 12997

Twelve Thousand Nine Hundred Ninety-Seven

Basics

Value: 12996 → 12997 → 12998

Parity: odd

Prime: No

Previous Prime: 12983

Next Prime: 13001

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 41 × 317

Divisors: 1, 41, 317, 12997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011000101

Octal: 31305

Duodecimal: 7631

Hexadecimal: 32c5

Square: 168922009

Square Root: 114.00438588054409

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

Fundamental discriminants of real quadratic number fields with class number 10. A218160

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250468

a(n) = 9·n² + 1. A247792

a(n) = 36·n² + 1. A158591

Convolution of primes with odd primes. A209403

∑_1<=k<n gcd(k!,n!/k!). A14454

a(n) = 361·n + 1. A158310

Triangle read by rows: T(n, m) = 1 + (binomial(n, m) - Eulerian(n+1, m))². A174912

Composite number of the form 4n²+1. A121944

A006005 (shifted) convolved with all of its regularly "aerated" variants. A161993