Properties of the Number 86164

Eighty-Six Thousand One Hundred Sixty-Four

Basics

Value: 86163 → 86164 → 86165

Parity: even

Prime: No

Previous Prime: 86161

Next Prime: 86171

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 13 × 1657

Divisors: 1, 2, 4, 13, 26, 52, 1657, 3314, 6628, 21541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000010010100

Octal: 250224

Duodecimal: 41A44

Hexadecimal: 15094

Square: 7424234896

Square Root: 293.53705047233814

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

a(n) = n*(n+1)*(2·n³ - n² + 2)/6. A101383

Triangle read by rows: T(n,k) is number of Dyck paths of semilength n having k ascents of length 3 (0<=k<=floor(n/3)). Also number of ordered trees with n edges that have k vertices of outdegree 3. A114506

Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically. A254567

Binary representation of the concatenation of the first n primes. A86164