Properties of the Number 12972

Twelve Thousand Nine Hundred Seventy-Two

Basics

Value: 12971 → 12972 → 12973

Parity: even

Prime: No

Previous Prime: 12967

Next Prime: 12973

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 23 × 47

Divisors: 1, 2, 3, 4, 6, 12, 23, 46, 47, 69

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001010101100

Octal: 31254

Duodecimal: 7610

Hexadecimal: 32ac

Square: 168272784

Square Root: 113.89468819923079

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 both the sum of n+1 consecutive integers and the sum of the n immediately higher consecutive integers. A59270

a(n) = floor(n²/4)*(n/2). A34828

Number of twice-partitions of n of odd length. A358824

Cubic star numbers: a(n) = n³ + 4*∑_i=0..n-1 i². A51673

Numbers k such that iterating φ(σ(k)-φ(k)) starting from k leads to the fixed point 8064. A77096

a(n) = floor(C(n+6,6)/C(n+2,2)). A84626

Minimal m such that nⁿ-m and nⁿ+m are both primes, or -1 if there is no such m. A75468

The indices of cubes (of primes) in the 3-almost primes. A128302

Number of ways to choose three distinct points from a 5 X n grid so that they form an isosceles triangle. A271915

The (n,r)-th term of the following triangle is T(n)-T(r) for r = 0 to n. The n-th row contains n+1 terms. T(n) = the n-th triangular number = n(n+1)/2. Sequence contains the sum of terms at a 45-degree angle. A109900

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