Properties of the Number 37233

Thirty-Seven Thousand Two Hundred Thirty-Three

Basics

Value: 37232 → 37233 → 37234

Parity: odd

Prime: No

Previous Prime: 37223

Next Prime: 37243

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 197

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 197, 591

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101110001

Octal: 110561

Duodecimal: 19669

Hexadecimal: 9171

Square: 1386296289

Square Root: 192.95854477063202

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

Number of partitions of n with a product greater than n. A114324

Number of (w,x,y,z) with all terms in {1,...,n} and median=mean. A212133

Haüy rhombic dodecahedral numbers. A46142

Numerators of continued fraction convergents to sqrt(999). A42934

Triangle read by rows: Number of crossing set partitions of {1,2,...,n} into k blocks. A189232

Number of length n arrays of permutations of 0..n-1 with each element moved by -5 to 5 places and the total absolute value of displacements not greater than n. A263936

Erroneous version of A046142. A85636

Order of (4,n) cage, i.e., minimal order of 4-regular graph of girth n. A37233

E.g.f.: exp(9·x*G(x)⁸) / G(x)⁸ where G(x) = 1 + x·G(x)⁹ is the g.f. of A062994. A251579

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and the total absolute value of displacements not greater than n. A263939