Properties of the Number 73976

Seventy-Three Thousand Nine Hundred Seventy-Six

Basics

Value: 73975 → 73976 → 73977

Parity: even

Prime: No

Previous Prime: 73973

Next Prime: 73999

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 7 × 1321

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 1321, 2642

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000011111000

Octal: 220370

Duodecimal: 36988

Hexadecimal: 120f8

Square: 5472448576

Square Root: 271.98529372008335

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) = 64·n² - 8. A158487

G.f.: A(x) = ∑_n>=0 x^n*(n+1/2) / ∏_k=1..n (1-x^k)^n-k+1. A206139

a(n) is the number of distinct five-cuboid combinations filling n X n X n cube without allowing a cut spanning through the full cube in any of filling positions. A384743

Number of columns with top entry equal to bottom entry in all the 2-compositions of n. A 2-composition of n is a nonnegative matrix with two rows, such that each column has at least one nonzero entry and whose entries sum up to n. A181300

Expansion of modular form (E6(q)+8·E6(q²))/9, where E6 = A013973. A198948

Number of nondecreasing -4..4 vectors of length n whose dot product with some nondecreasing -4..4 vector equals n. A226407

Number of strings of length n over Z₆ with trace 0 and subtrace 5. A73976