Properties of the Number 71745

Seventy-One Thousand Seven Hundred Forty-Five

Basics

Value: 71744 → 71745 → 71746

Parity: odd

Prime: No

Previous Prime: 71741

Next Prime: 71761

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 4783

Divisors: 1, 3, 5, 15, 4783, 14349, 23915, 71745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001100001000001

Octal: 214101

Duodecimal: 35629

Hexadecimal: 11841

Square: 5147345025

Square Root: 267.85257138956126

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

Sequence is {a(5,n)}, where a(m,n) is defined at sequence A110665. A110670

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum. A187283

Number of (n+2)X4 0..2 arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum. A187281

Number of (n+2)X5 0..2 arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum. A187282

Expansion of (1+x⁴*C)*C⁴, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71745