Properties of the Number 33705

Thirty-Three Thousand Seven Hundred Five

Basics

Value: 33704 → 33705 → 33706

Parity: odd

Prime: No

Previous Prime: 33703

Next Prime: 33713

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 107

Divisors: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000001110101001

Octal: 101651

Duodecimal: 17609

Hexadecimal: 83a9

Square: 1136027025

Square Root: 183.5892153695309

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 whose deficiency is 18: σ(k) - 2·k = -18. A223608

Numbers k > 1 such that, in base 6, k and k² contain the same digits in the same proportion. A61660

Odd numbers n such that abs(σ(n)-2n) <= n^1/3. Abundance-radius = abs(σ(n)-2n) does not exceed cubic root of n and n is odd. A88010

T(n,k)=Number of (n+5)X(k+5) 0..1 matrices with each 6X6 subblock idempotent. A224577

-3-Knödel numbers. A225507

Numbers k such that σ(k) == 0 (mod k-9). A274564

Odd deficient numbers whose abundancy is closer to 2 than any smaller odd deficient number. A188597

Odd numbers n such that 2n/σ(n) - 1 = 1/x for some positive integer x. A222263

Convolved Fibonacci numbers. A1875

Place a point on the integer coordinates, up to |n|, along all four axial directions on a Cartesian plane, and then join an infinite straight line between every pair of points: a(n) is the number of points where lines intersect in the resulting graph. A386559