Properties of the Number 48980

Forty-Eight Thousand Nine Hundred Eighty

Basics

Value: 48979 → 48980 → 48981

Parity: even

Prime: No

Previous Prime: 48973

Next Prime: 48989

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 31 × 79

Divisors: 1, 2, 4, 5, 10, 20, 31, 62, 79, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011111101010100

Octal: 137524

Duodecimal: 24418

Hexadecimal: bf54

Square: 2399040400

Square Root: 221.3142562059661

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 nXk 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302381

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251317

Trajectory of 3 under map n->7n+1 if n odd, n->n/2 if n even. A37101

For n, k > 0, let T(n, k) be given by T(n, 1) = n and T(n, k+1) = k·T(n, k) + 1. Then a(n) = T(n, n). A84756

Number of (n+1) X (3+1) 0..1 arrays with no 2 X 2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251312

Number of (n+1)X(6+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251315

Number of nX4 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302377

Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302384

a(0)=7; a(n) = 7·a(n-1) + 1 if a(n-1) is odd, a(n) = a(n-1)/2 otherwise. A271623

Difference between number of nonprimes and primes in reduced residue system of primorial numbers. A48980