Properties of the Number 39045

Thirty-Nine Thousand Forty-Five

Basics

Value: 39044 → 39045 → 39046

Parity: odd

Prime: No

Previous Prime: 39043

Next Prime: 39047

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 19 × 137

Divisors: 1, 3, 5, 15, 19, 57, 95, 137, 285, 411

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100010000101

Octal: 114205

Duodecimal: 1A719

Hexadecimal: 9885

Square: 1524512025

Square Root: 197.59807691371898

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 number of unlabeled rank-3 graded lattices with 5 coatoms and n atoms. A322600

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A203001; by antidiagonals. A203002

Number of partitions of n into at most 1² copy of 1, 2² copies of 2, 3² copies of 3, ... . A303944

a(n) = ∑_k=0..n T(n,k) * T(n,2n-k), with T given by A027113. A27135

G.f.: exp( ∑_n>=1 6·A084214(n) * xⁿ/n ) where g.f. of A084214 is (1+x²)/((1+x)*(1-2·x)). A182349

Numbers whose base-7 representation has the same number of 3's and 5's. A39045