Properties of the Number 30976

Thirty Thousand Nine Hundred Seventy-Six

Basics

Value: 30975 → 30976 → 30977

Parity: even

Prime: No

Previous Prime: 30971

Next Prime: 30977

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁸ × 11 ²

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100100000000

Octal: 74400

Duodecimal: 15B14

Hexadecimal: 7900

Square: 959512576

Square Root: 176

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 integer partitions of n such that it is not possible to choose a different prime factor of each part. A370593

Number of subsets of integers 1 through n (including the empty set) containing no pair of integers that share a common factor. A84422

Squares of partition numbers. A1255

Numbers of the form 2ⁱ * 11^j. A3596

Number of 3·n binary matrices without unit columns up to row and column permutations. A57524

Determinant of n X n matrix defined by m(i,j)=1 if i+j is a prime, m(i,j)=0 otherwise. A69191

Numbers whose prime factors are 2 and 11. A33848

Squares whose arithmetic mean of digits is an integer (i.e., the sum of digits is a multiple of the number of digits). A69711

Numbers of the form (4ⁱ)*(11^j), with i, j >= 0. A107988

a(n) = (7·n + 1)². A16994