Properties of the Number 12975

Twelve Thousand Nine Hundred Seventy-Five

Basics

Value: 12974 → 12975 → 12976

Parity: odd

Prime: No

Previous Prime: 12973

Next Prime: 12979

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 173

Divisors: 1, 3, 5, 15, 25, 75, 173, 519, 865, 2595

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001010101111

Octal: 31257

Duodecimal: 7613

Hexadecimal: 32af

Square: 168350625

Square Root: 113.90785749894518

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

Number of partitions of n into 9 or more distinct parts. A347576

Expansion of ∏_k>=1 1/(1 - x^k * (1 - x)). A306749

Number of points in Nⁿ of norm <= 2. A55417

0-sequence of reduction of the lower Wythoff sequence by x² -> x+1. A192300

Numbers n such that σ(σ(φ(n))) = σ(σ(n)). A172466

Number of n X 6 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing. A223775

Number of n X n 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing. A223771

Given an equilateral triangular grid with side n, containing n(n+1)/2 points, a(n) is the minimal number of points to be removed from the grid, so that, if 3 of the remaining points are chosen, they do not form an equilateral triangle with sides parallel to the grid. A227116

Primes which leave primes at every step if most significant digit and least significant digit are deleted until a one digit or two digit prime is obtained. A77390

T(n,k)=Number of nXk 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing. A223777