Properties of the Number 68457

Sixty-Eight Thousand Four Hundred Fifty-Seven

Basics

Value: 68456 → 68457 → 68458

Parity: odd

Prime: No

Previous Prime: 68449

Next Prime: 68473

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 1201

Divisors: 1, 3, 19, 57, 1201, 3603, 22819, 68457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101101101001

Octal: 205551

Duodecimal: 33749

Hexadecimal: 10b69

Square: 4686360849

Square Root: 261.64288639288475

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

Infinite lower triangular matrix, M, that satisfies [M³](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78122

Second column, M(n+1,1) for n>=0, of infinite lower triangular matrix M defined in A078122. A78124

Rectangular table where column k equals row sums of matrix power A078122^k, read by antidiagonals. A125800

Numbers m with the property that its k-th smallest divisor, for all 1 <= k <= τ(m), contains exactly k "1" digits in its binary representation. A255401

Number of partitions of 3ⁿ into powers of 3. A78125

Factorial expansion of ζ(8) = ∑_n>=1 a(n)/n!. A68457