Properties of the Number 46970

Forty-Six Thousand Nine Hundred Seventy

Basics

Value: 46969 → 46970 → 46971

Parity: even

Prime: No

Previous Prime: 46957

Next Prime: 46993

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 7 × 11 × 61

Divisors: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011011101111010

Octal: 133572

Duodecimal: 23222

Hexadecimal: b77a

Square: 2206180900

Square Root: 216.7256330017287

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(n) = n*(n-1)*(n+1)*(3·n-2)/12. A153978

Structured disdyakis triacontahedral numbers (vertex structure 7). A100159

Triangle read by rows. T(n, k) = 1 if n = k, otherwise T(n, k) = ∑_j=0..k-1 (-1)^{j - k - 1} * (n + j + 1)^n-1 / (j! * (k - 1 - j)!). A360177

Numbers whose set of base-12 digits is {2,3}. A32812

a(n) = (a(n-1) * a(n-3) - (-1)ⁿ * a(n-2)²) / a(n-4) with a(0) = 1, a(1) = 1, a(2) = 0, a(3) = 1, a(6) = 2. A247370

Values n, where n = p·q, and n, p, and q together contain all 10 digits at least once, and no digit is in more than one of n, p or q. A253173

Dirichlet inverse of the Jordan function J₂ (A007434). A46970

Total number of nodes summed over all self-avoiding planar walks starting at (0,0), ending at (n,n), remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restriction that (0,1) is never used below the diagonal and (1,0) is never used above the diagonal. A285673