Properties of the Number 7975

Seven Thousand Nine Hundred Seventy-Five

Basics

Value: 7974 → 7975 → 7976

Parity: odd

Prime: No

Previous Prime: 7963

Next Prime: 7993

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 11 × 29

Divisors: 1, 5, 11, 25, 29, 55, 145, 275, 319, 725

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100100111

Octal: 17447

Duodecimal: 4747

Hexadecimal: 1f27

Square: 63600625

Square Root: 89.30285549745876

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

Numbers k such that k divides 1 plus the sum of the first k primes. A128165

Expansion of ∏_m>0 (1+q^m)^m(m+1/2). A28377

Number of subsets of {1,..,n} of cardinality >= 2 such that the elements of each counted subset are pairwise coprime. A276187

-5-Knödel numbers. A225509

Triangle T(n,k) by rows: T(n, k) = (3·n-3·k+1)*T(n-1, k-1) +(3·k-2)*T(n-1, k) + 3·T(n-2, k-1) with T(n, 1) = T(n, n) = 1. A144440

Sum of the largest parts in the partitions of n into 8 parts. A308998

a(n) = ∑_{k=0..floor(n/2)} binomial(k+2,2) * binomial(k,3*(n-2·k)). A392255

Partial sum of A005915. A126274

Total number of nonprime parts in all partitions of n. A144119

Numbers of the form 12n+7 for which ∑_i=0..(4n+2) J(i,12n+7) = 0, where J(i,m) is the Jacobi symbol. A165463