Properties of the Number 33989

Thirty-Three Thousand Nine Hundred Eighty-Nine

Basics

Value: 33988 → 33989 → 33990

Parity: odd

Prime: No

Previous Prime: 33967

Next Prime: 33997

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 41 × 829

Divisors: 1, 41, 829, 33989

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010011000101

Octal: 102305

Duodecimal: 17805

Hexadecimal: 84c5

Square: 1155252121

Square Root: 184.36105879496353

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

Numbers k such that k² contains only digits {1,2,5}. A31153

Number of diamond polyominoes with n cells. A56783

Number of Fermat pseudoprimes to base 7 less than 10ⁿ. A114249

Coefficient of x² in minimal polynomial of the continued fraction [1ⁿ,sqrt(5),1,1,1,...], where 1ⁿ means n ones. A266705

Number of free polyominoes with checkerboard-pattern-colored vertices with n cells. A361625

Numbers having four 5's in base 9. A43476

Array read by antidiagonals, where each row is the counting sequence of a certain type of free polyominoids (see comments). A366766

Write 0,1,2,... in a clockwise spiral on a square lattice, writing each digit at a separate lattice point, starting with 0 at the origin and 1 at x=0, y=-1; sequence gives the numbers on the negative x-axis. A33989

a(n) = ∑_k=1..n (binomial(n, k) * 3^k) (mod 4^k). A386662

Number of ways to write n as x*(3·x+1)/2 + y*(y+1)*(y+2)/2 + z*(z+1)*(z+2)/6, where·is a nonzero integer, and y and z are nonnegative integers. A306790