Properties of the Number 47980

Forty-Seven Thousand Nine Hundred Eighty

Basics

Value: 47979 → 47980 → 47981

Parity: even

Prime: No

Previous Prime: 47977

Next Prime: 47981

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 2399

Divisors: 1, 2, 4, 5, 10, 20, 2399, 4798, 9596, 11995

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011101101101100

Octal: 135554

Duodecimal: 23924

Hexadecimal: bb6c

Square: 2302080400

Square Root: 219.04337470008082

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) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234921

a(n) = ∑_i=1..n ∑_j=1..i (prime(i)² - prime(j)²). A62021

Expansion of f(-q)¹⁰ / f(-q⁵)² in power of q where f() is a Ramanujan θ function. A243939

Number of (n+1) X (2+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234915

Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234919

G.f. satisfies A(x) = 1 + x·cycle_index(G,A(x)) where G = cyclic group of order 19 generated by (1,2,...,19). A36732

a(n) is smallest difference d of an arithmetic progression dk+1 whose first prime occurs at the n-th position. A47980