Properties of the Number 33306

Thirty-Three Thousand Three Hundred Six

Basics

Value: 33305 → 33306 → 33307

Parity: even

Prime: No

Previous Prime: 33301

Next Prime: 33311

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 13 × 61

Divisors: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001000011010

Octal: 101032

Duodecimal: 17336

Hexadecimal: 821a

Square: 1109289636

Square Root: 182.49931506720785

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

Smallest oblong (promic) number containing exactly n 3's. A48536

Number of 3 X 3 matrices with nonnegative integer entries and all row sums equal to n, up to row and column permutation. A58389

a(n) = n*(n+1)*(n*(n+1)+1). A169938

a(n) = 25·n² + 25·n + 6. A177059

Largest·such that 1/x + 1/y + 1/z = 1/n. A82986

z-value of the lexicographically first solution (x,y,z) of 4/n = 1/x + 1/y + 1/z with 0 < x < y < z all integers, or 0 if there is no such solution. Corresponding·and y values are in A257839 and A257840. A257841

Oblong composite numbers m such that β(m) = τ(m)/2 - 1 where β(m) is the number of Brazilian representations of m and τ(m) is the number of divisors of m. A326384

Numbers that are both interprime and oblong. A263676

Alexandrian integers: numbers of the form n = p·q*r such that 1/n = 1/p - 1/q - 1/r for some integers p,q,r. A147811

Coefficients in asymptotic expansion of sequence A101880. A331826