Properties of the Number 6972

Six Thousand Nine Hundred Seventy-Two

Basics

Value: 6971 → 6972 → 6973

Parity: even

Prime: No

Previous Prime: 6971

Next Prime: 6977

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 83

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111100

Octal: 15474

Duodecimal: 4050

Hexadecimal: 1b3c

Square: 48608784

Square Root: 83.4985029805924

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) = 2·n*(2·n-1). A2939

a(n) = ∑_{k=1..n, gcd(n,k) = 1} k². A53818

Triangle of numbers a(n,k), 0 <= k <= n: number of set partitions of {1,2,...,n} in which exactly k of the blocks have been distinguished. A49020

Product of a prime and the following number. A36690

Number of primes between n·100000 and (n+1)*100000. A38825

6 times pentagonal numbers: a(n) = 3·n*(3·n-1). A152743

Sum of the smallest parts of the partitions of n into 10 parts. A326589

Array read by antidiagonals: T(n,k) = variant of Knuth's Fibonacci (or circle) product of n and k (A101330). A101385

T(n,k)=Number of nXk 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201101

Sum of numbers in n-th upward diagonal of triangle in A079823. A79824