Properties of the Number 7974

Seven Thousand Nine Hundred Seventy-Four

Basics

Value: 7973 → 7974 → 7975

Parity: even

Prime: No

Previous Prime: 7963

Next Prime: 7993

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 443

Divisors: 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100100110

Octal: 17446

Duodecimal: 4746

Hexadecimal: 1f26

Square: 63584676

Square Root: 89.2972563968233

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) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero with no three beads in a row equal. A208945

Number of compositions (ordered partitions) of n into powers of 3. A78932

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + 9·A(x))ⁿ = 1 + 11*∑_n>=1 (-1)ⁿ * x^n². A370029

Connell (5,3)-sum sequence (partial sums of the (5,3)-Connell sequence). A122795

Sum of the fifth largest parts in the partitions of n into 6 parts. A308869

G.f.: A(x) = 1/(1 - x·B(x³)), where B(x) = ∑_n>=0 a(n)³*xⁿ is the g.f. of A121652. A121653

A trisection of A121653; a(n) = A121653(3·n) = A121652(3·n)^1/3. A121654

Integer part of Gauss's Arithmetic-Geometric Mean M(2,n³). A127764

T(n+2,2) with T as in A036355. A36681