Properties of the Number 74512

Seventy-Four Thousand Five Hundred Twelve

Basics

Value: 74511 → 74512 → 74513

Parity: even

Prime: No

Previous Prime: 74509

Next Prime: 74521

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 4657

Divisors: 1, 2, 4, 8, 16, 4657, 9314, 18628, 37256, 74512

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001100010000

Octal: 221420

Duodecimal: 37154

Hexadecimal: 12310

Square: 5552038144

Square Root: 272.9688626931651

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 A(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A262163

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 2. A262164

Series for 2nd parallel moment of square lattice bond percolation near a wall (eventually goes negative). A56598

a(n) = σ(a(n-1)) + φ(a(n-1)), a(1)=3. A63119

a(n)=a(n-2)+64·a(n-3) with a(0)=1, a(1)=4, a(3)=16. A158761

a(n) = 1ⁿ + 4ⁿ + 6ⁿ. A74512