Properties of the Number 68042

Sixty-Eight Thousand Forty-Two

Basics

Value: 68041 → 68042 → 68043

Parity: even

Prime: No

Previous Prime: 68041

Next Prime: 68053

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 13 × 2617

Divisors: 1, 2, 13, 26, 2617, 5234, 34021, 68042

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100111001010

Octal: 204712

Duodecimal: 33462

Hexadecimal: 109ca

Square: 4629713764

Square Root: 260.84861510078986

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

Triangle T(n,k) = 1 -A002627(k) -A002627(n-k) +A002627(n), read by rows. A176305

Expansion of 1/(sqrt(1-4·x) - x²). A104625

Index sequence for limit-block extending A004539 (base-2 representation of sqrt(2)) with first term as initial block. A246143

Triangle T(n, k, m) = t(n,m)/( t(k,m) * t(n-k,m) ) with T(n, 0, m) = T(n, n, m) = 1, where t(n, m) = ∏_j=1..n ∏_i=1..j-1 ( 1 - (m+1)*(i+1) ) and m = 1, read by rows. A156690

Number of subsets of {1,2,3,...,n} that sum to 0 mod 21. A68042

Number of 4Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically. A207520