Properties of the Number 7476

Seven Thousand Four Hundred Seventy-Six

Basics

Value: 7475 → 7476 → 7477

Parity: even

Prime: No

Previous Prime: 7459

Next Prime: 7477

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 89

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: 1110100110100

Octal: 16464

Duodecimal: 43B0

Hexadecimal: 1d34

Square: 55890576

Square Root: 86.46386528486914

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 partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n. A23893

Generalized 29-gonal (or icosienneagonal) numbers: m*(27·m - 25)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303815

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354650

G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

Expansion of 1/((1+x)*(1-x)⁷). A1769

Number of ways to write n as an ordered sum of 6 primes. A340962

Numbers k such that φ(x) = k has exactly 9 solutions. A60672

29-gonal numbers: a(n) = n*(27·n-25)/2. A255187

a(n) = n*(n² + 2·n - 1)/2. A127736