Properties of the Number 33766

Thirty-Three Thousand Seven Hundred Sixty-Six

Basics

Value: 33765 → 33766 → 33767

Parity: even

Prime: No

Previous Prime: 33757

Next Prime: 33767

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 16883

Divisors: 1, 2, 16883, 33766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000001111100110

Octal: 101746

Duodecimal: 1765A

Hexadecimal: 83e6

Square: 1140142756

Square Root: 183.7552720332127

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) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 3. A49959

Number of (w,x,y,z) with all terms in {1,...,n} and w²<x²+y²+z². A212092

Trajectory of n under the Reverse and Add! operation carried out in base 8 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A306596

Expansion of g.f.: x³*(1 + 4·x - x² - 6·x³ + x⁴)/(1 - 9·x² - 3·x³ + 17·x⁴ + 8·x⁵ - 6·x⁶ - 7·x⁷ + x⁸ - x⁹). A173652

Number of 3Xn arrays containing n copies of 0..3-1 with no element plus any horizontal or antidiagonal neighbor equal to 3-1. A265857

Number of prime divisors (counted without multiplicity) of A138613(n). A33766