Properties of the Number 33117

Thirty-Three Thousand One Hundred Seventeen

Basics

Value: 33116 → 33117 → 33118

Parity: odd

Prime: No

Previous Prime: 33113

Next Prime: 33119

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 19 × 83

Divisors: 1, 3, 7, 19, 21, 57, 83, 133, 249, 399

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000101011101

Octal: 100535

Duodecimal: 171B9

Hexadecimal: 815d

Square: 1096735689

Square Root: 181.98076821466603

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

Triangle T(n,k) read by rows: the number of symmetric binary n X n matrices with k ones and no all-1 2 X 2 submatrix. A350189

Numbers which are the product of two S-primes (A057948) in exactly three ways. A343828

a(n) = 49·n² - 7. A158484

a(n) = (prime(n))² - (nonprime(n))². A161757

Total number of colors in all colored integer partitions of n using all colors of an initial color palette such that a color pattern for part i has i distinct colors in increasing order. A327118

G.f. satisfies A(x) = 1 + x·A(x)²/(1 - x²*A(x)⁴). A365246

Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n-3)/3. A48034

Number of days after Jan 01 1000 such that the date written in the ISO-8601-format YYYYMMDD is palindromic. A210883

Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,0. A33117