Properties of the Number 47504

Forty-Seven Thousand Five Hundred Four

Basics

Value: 47503 → 47504 → 47505

Parity: even

Prime: No

Previous Prime: 47501

Next Prime: 47507

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 2969

Divisors: 1, 2, 4, 8, 16, 2969, 5938, 11876, 23752, 47504

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100110010000

Octal: 134620

Duodecimal: 235A8

Hexadecimal: b990

Square: 2256630016

Square Root: 217.95412361320444

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) = 4, a(n) = smallest number > a(n-1) such that the concatenation of a(n-1) and a(n) is a square. A265148

Integers k > 10577 such that the 'Reverse and Add!' trajectory of k joins the trajectory of 10577. A63434

Number of -n..n arrays x(0..3) of 4 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing. A200193

Number of length 2+2 0..n arrays with no pair in any consecutive three terms totalling exactly n. A245997

Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5). A39842

Interprimes which are of the form s·prime, s=16. A75291

Numbers that are congruent to {1, 2, 3, 4, 5, 7} mod 8. A47504

G.f. A(x) satisfies [x^2·n] A(x)^5·n = -5 and [x^2·n+1] A(x)^5·n+2 = [x^2·n+1] A(x)^5·n+3 for n >= 1. A377096

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically. A254451

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254169