Properties of the Number 67017

Sixty-Seven Thousand Seventeen

Basics

Value: 67016 → 67017 → 67018

Parity: odd

Prime: No

Previous Prime: 67003

Next Prime: 67021

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 89 × 251

Divisors: 1, 3, 89, 251, 267, 753, 22339, 67017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010111001001

Octal: 202711

Duodecimal: 32949

Hexadecimal: 105c9

Square: 4491278289

Square Root: 258.876418393024

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293765

Partial sums of A011757. A109770

The number of P-positions in the game of Nim with up to 4 piles, allowing for piles of zero, such that the number of objects in each pile does not exceed n. A241522

Shorthand for A157033, the smallest prime with 2ⁿ digits. A157034

a(n) = n³ + 73·n² + n + 67. A163303

Numbers k such that 225·2^k+1 is prime. A32489

Start with a(0)=1, a(1)=4, a(2)=3, a(3)=2; for n>=3, a(n+1) = mex_i (a(i)+a(n-i)), where mex means smallest nonnegative missing number. A67017

Number of nX4 0..1 arrays with every element equal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298578