Properties of the Number 48180

Forty-Eight Thousand One Hundred Eighty

Basics

Value: 48179 → 48180 → 48181

Parity: even

Prime: No

Previous Prime: 48179

Next Prime: 48187

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 11 × 73

Divisors: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011110000110100

Octal: 136064

Duodecimal: 23A70

Hexadecimal: bc34

Square: 2321312400

Square Root: 219.49943052317926

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

Let p = A002145(n) be the n-th prime == 3 (mod 4); a(n) is the multiplicative order of 2+-i modulo p in Gaussian integers. A385165

T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having four times any element equal to the sum of the remaining four. A249466

Riordan array (1/(1-x·c(3·x)), x·c(3·x)/(1-x·c(3·x))), c(x) the g.f. of A000108. A110519

a(n) = 5*(n+1)*(9·n+4). A304507

Number of length n+4 0..4 arrays with no five consecutive terms having four times any element equal to the sum of the remaining four. A249462

Number of length 3+4 0..n arrays with no five consecutive terms having four times any element equal to the sum of the remaining four. A249469

Number of maximum matchings in the n-triangular honeycomb queen graph. A289884

A triangle sequence of polynomial coefficients:p(x,n)=Sum[Eulerian[n+1, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}]. A174860

Number of positive integer solutions to the Diophantine equation x + y + 2z = n². A218832

Numbers of the form a·b*c·r/60 where (a,b,c) is a primitive Pythagorean triple with inradius r. A393614