Properties of the Number 33297

Thirty-Three Thousand Two Hundred Ninety-Seven

Basics

Value: 33296 → 33297 → 33298

Parity: odd

Prime: No

Previous Prime: 33289

Next Prime: 33301

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 1009

Divisors: 1, 3, 11, 33, 1009, 3027, 11099, 33297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000001000010001

Octal: 101021

Duodecimal: 17329

Hexadecimal: 8211

Square: 1108690209

Square Root: 182.474655774439

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) is the concatenation of n and 9n. A9474

Sum of all the parts in the partitions of n into 7 parts. A308926

T(n,k) = Number of n X k 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X (k+1) binary array having two adjacent 1's and two adjacent 0's, with rows and columns of the latter in lexicographically nondecreasing order. A227333

Subdiagonal of array of n-gonal numbers A081422. A81423

1/9 the number of (n+1) X 7 0..2 arrays with all 2 X 2 subblocks having the same four values. A184045

Number of n X 4 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 5 binary array having two adjacent 1's and two adjacent 0's, with rows and columns of the latter in lexicographically nondecreasing order. A227331

Number of n X 5 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 6 binary array having two adjacent 1's and two adjacent 0's, with rows and columns of the latter in lexicographically nondecreasing order. A227332

Expansion of g.f. x*(21 + 123·x + 129·x² + 4·x³ + 129·x⁴ + 123·x⁵ + 21·x⁶)/((1 - x)³*(1 + x + x² + x³)²). A377166

Numbers whose base-8 representation has exactly 6 runs. A43628

T(n,k) = 1/9 the number of (n+1) X (k+1) 0..2 arrays with all 2 X 2 subblocks having the same four values. A184048