Properties of the Number 12725

Twelve Thousand Seven Hundred Twenty-Five

Basics

Value: 12724 → 12725 → 12726

Parity: odd

Prime: No

Previous Prime: 12721

Next Prime: 12739

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 ² × 509

Divisors: 1, 5, 25, 509, 2545, 12725

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110110101

Octal: 30665

Duodecimal: 7445

Hexadecimal: 31b5

Square: 161925625

Square Root: 112.80514172678478

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

List of codewords in binary lexicode with Hamming distance 6 written as decimal numbers. A75934

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in row major order. A210107

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(4,1). A268527

a(n) = n·prime(prime(n)). A80697

a(n) = n*(5·n² - 3·n + 4) / 6. A203552

Expansion of ∏_k>=1 (1 + x^k)^A034448(k). A301982

G.f. satisfies: A(x) = ∑_n>=0 xⁿ*[∑_k=0..n C(n,k)³ *x^k* A(x)^k]. A186097

q-Expansion of wedge character χ²(q). A288578

a(n) = A075443(A075451(n)). A75452

Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having one or three distinct values, and new values 0..2 introduced in row major order. A210101