Properties of the Number 42980

Forty-Two Thousand Nine Hundred Eighty

Basics

Value: 42979 → 42980 → 42981

Parity: even

Prime: No

Previous Prime: 42979

Next Prime: 42989

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 7 × 307

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011111100100

Octal: 123744

Duodecimal: 20A58

Hexadecimal: a7e4

Square: 1847280400

Square Root: 207.31618364228106

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

Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n). A79908

Number of ways to place 3 nonattacking queens on a 3 X n board. A61989

T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1)). A234091

Floor((n+1/n)³). A197602

a(n) = floor(e^n/e). A61481

Averages of two consecutive even cubes: (n³ + (n+2)³)/2. A173961

Denominators of continued fraction convergents to sqrt(599). A42149

a(n) is the number of pairs of integer quadruples (b₁, b₂, b₃, b₄) and (c₁, c₂, c₃, c₄) satisfying 1 <= b₁ < b₂ < b₃ < b₄ < n, 1 <= c₁ < c₂ < c₃ < c₄ < n, b_i ≠ c_j for all i,j = 1,2,3,4 and ∏_i=1..4 cos(2*π*b_i/n) = ∏_i=1..4 cos(2*π*c_i/n). A63780

a(n) = round((n+1/n)³). A197986

Number of (n+1)X(2+1) 0..5 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10. A234085