Properties of the Number 74358

Seventy-Four Thousand Three Hundred Fifty-Eight

Basics

Value: 74357 → 74358 → 74359

Parity: even

Prime: No

Previous Prime: 74357

Next Prime: 74363

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁷ × 17

Divisors: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010001001110110

Octal: 221166

Duodecimal: 37046

Hexadecimal: 12276

Square: 5529112164

Square Root: 272.6866333357761

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

T(n,k) = Number of (n+2) X (k+2) binary arrays with no more than one of any consecutive three bits set in any row or column. A202421

Numbers k such that the decimal part of k^1/7 starts with a 'nine digits' anagram. A34282

Expansion of (11·x-2)/(1-3·x)². A53566

Number of (n+2)X4 binary arrays with no more than one of any consecutive three bits set in any row or column. A202415

Number of (n+2)X8 binary arrays with no more than one of any consecutive three bits set in any row or column. A202419

Number of nX7 0..1 arrays with every element equal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A298659

a(n) = 3ⁿ * Fibonacci(n+2). A174634

G.f. A(x) satisfies: A( 3·A(x)³ - 27·A(x)⁴ ) = 3·x³. A291315

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)=(2,2). A74358

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A298660