Properties of the Number 67171

Sixty-Seven Thousand One Hundred Seventy-One

Basics

Value: 67170 → 67171 → 67172

Parity: odd

Prime: No

Previous Prime: 67169

Next Prime: 67181

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 × 5167

Divisors: 1, 13, 5167, 67171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011001100011

Octal: 203143

Duodecimal: 32A57

Hexadecimal: 10663

Square: 4511943241

Square Root: 259.1736869360005

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) = ∑_k=1..n kⁿ. A31971

Partial sums of A299281. A299282

Sum of 6th powers: 0⁶ + 1⁶ + 2⁶ + ... + n⁶. A540

Triangle T(n,k) = sum of the k first n-th powers. A215083

T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order. A222360

Sum of the sixth powers of the parts in the partitions of n into two parts. A294273

a(n) = 1ⁿ + 2ⁿ + ... + 6ⁿ. A1553

Sum of the sixth powers of the parts in the partitions of n into two distinct parts. A294301

Numbers n such that the smallest possible number of multiplications required to compute xⁿ is by 2 less than the number of multiplications obtained by Knuth's power tree method. A115614

Triangle of sums of the first k n-th powers multiplied by binomial(n,k), read by rows. A215078