Properties of the Number 67681

Sixty-Seven Thousand Six Hundred Eighty-One

Basics

Value: 67680 → 67681 → 67682

Parity: odd

Prime: No

Previous Prime: 67679

Next Prime: 67699

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 53 × 1277

Divisors: 1, 53, 1277, 67681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000100001100001

Octal: 204141

Duodecimal: 33201

Hexadecimal: 10861

Square: 4580717761

Square Root: 260.155722597063

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 normal patterns matched by compositions of n. A335456

Number of twice-partitions of n with no repeated partitions. A296122

First differences of A000219. A191659

Number of nonempty subsets of {1, 2, ..., n} with <=8 pairwise coprime elements. A187269

Number of 6-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2. A209118

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 57. A31645

Number of n-bead necklaces labeled with numbers -7..7 not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2. A209114

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2. A209115

Diagonals and antidiagonals of the prime-composite array, B(m,n) which are zeros from the Third Borve Conjecture. A67681