Properties of the Number 67688

Sixty-Seven Thousand Six Hundred Eighty-Eight

Basics

Value: 67687 → 67688 → 67689

Parity: even

Prime: No

Previous Prime: 67679

Next Prime: 67699

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 8461

Divisors: 1, 2, 4, 8, 8461, 16922, 33844, 67688

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100001101000

Octal: 204150

Duodecimal: 33208

Hexadecimal: 10868

Square: 4581665344

Square Root: 260.1691757299469

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

Expansion of e.g.f. ∏_k>=1 (1 + x^k/k)/(1 - x^k/k). A305199

Row sums of triangle A054453. A54455

Sort then Add, a(1)=31. A33905

Sort then Add, a(1)=5. A33894

Sort then Add, a(1)=20. A33906

a(n) is the sum of the terms of the symmetric square array defined by M(i,j) = prime(i)+i-j for i >= j and M(i,j) = M(j,i) if i < j. A308731

a(n) = 22·a(n - 2) + 54·a(n - 3) + 38·a(n - 4). A122503

Numbers k whose trajectory under the Reverse and Add! operation carried out in base 16 does not reach a palindrome and (presumably) does not join the trajectory of any term m < k. A344119

Composite numbers that are equal to the sum of the r-th powers of its prime factors (counted with multiplicity) for some integer r. A67688

Number of 9-step self-avoiding king's tours on an n X n board summed over all starting positions. A366829