Properties of the Number 74355

Seventy-Four Thousand Three Hundred Fifty-Five

Basics

Value: 74354 → 74355 → 74356

Parity: odd

Prime: No

Previous Prime: 74353

Next Prime: 74357

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 4957

Divisors: 1, 3, 5, 15, 4957, 14871, 24785, 74355

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001001110011

Octal: 221163

Duodecimal: 37043

Hexadecimal: 12273

Square: 5528666025

Square Root: 272.68113246060864

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(1) = 1; a(n+1) = a(n) + (largest triangular number <= a(n)). A60985

Number of nondecreasing sequences of 4 1..n integers with no element dividing the sequence sum. A212871

Coefficient of q¹ in ν(n), where ν(0)=1, ν(1)=b and, for n>=2, ν(n)=b*ν(n-1)+λ*(1+q+q²+...+q^n-2)*ν(n-2) with (b,λ)=(1,3). A74355

Let g = A006530(n), the largest prime factor of n. This filter sequence combines (g mod 6), n/g (A052126), and a single bit A319988(n) telling whether the largest prime factor is unitary. A319996

Number of ways to place 5 nonattacking amazons (superqueens) on an n X n toroidal board. A178975