Properties of the Number 67985

Sixty-Seven Thousand Nine Hundred Eighty-Five

Basics

Value: 67984 → 67985 → 67986

Parity: odd

Prime: No

Previous Prime: 67979

Next Prime: 67987

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 5 × 13597

Divisors: 1, 5, 13597, 67985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100110010001

Octal: 204621

Duodecimal: 33415

Hexadecimal: 10991

Square: 4621960225

Square Root: 260.7393334347543

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

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2,3}. A79955

a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1. A3520

Expansion of 1/(1 -x⁵ -x⁶ -x⁷ - ...). A17899

Expansion of 1/(1 - x - 2·x³ - x⁵). A193147

Number of n-step one-sided prudent walks, avoiding exactly two consecutive west steps (can have three or more west steps). A190525

Number of compositions of 5·n-3 into parts 1 and 5. A369838

Sum C(n-4k,k-1), k=0..floor(n/5). A99562

Number of (w,x,y,z) with all terms in {1,...,n} and |w-x| <= |x-y| + |y-z|. A212572

Number of 5-ary rooted trees with n nodes and height at most 8. A36619

Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+7), n>=0. A67985