Properties of the Number 74313

Seventy-Four Thousand Three Hundred Thirteen

Basics

Value: 74312 → 74313 → 74314

Parity: odd

Prime: No

Previous Prime: 74311

Next Prime: 74317

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 23 × 359

Divisors: 1, 3, 9, 23, 69, 207, 359, 1077, 3231, 8257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001001001001

Octal: 221111

Duodecimal: 37009

Hexadecimal: 12249

Square: 5522421969

Square Root: 272.6041085530444

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) = n*(4·n⁶ + 70·n⁴ + 196·n² + 45)/315. A99193

Least positive integer k such that both k and k·n belong to the set {m>0: 2·prime(prime(m))+1 = prime(p) for some prime p}. A261362

Crystal ball sequence for the lattice C₇. A305721

a(n) = the maximal length of a sequence of primes {s₁ = prime(n), s₂ = f(s1), s₃ = f(s₂), ....} formed by repeated application of f(m) = Floor(m/2) on prime(n). A74313

Expansion of g.f. exp( ∑_n>=1 ( ∑_k>=1 kⁿ*x^k )ⁿ * (1-x)ⁿ / n ). A370017