Properties of the Number 13045

Thirteen Thousand Forty-Five

Basics

Value: 13044 → 13045 → 13046

Parity: odd

Prime: No

Previous Prime: 13043

Next Prime: 13049

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 2609

Divisors: 1, 5, 2609, 13045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011110101

Octal: 31365

Duodecimal: 7671

Hexadecimal: 32f5

Square: 170172025

Square Root: 114.21471008587291

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

T(n,k)=Number of nXk binary arrays without the pattern 0 0 0 antidiagonally or horizontally. A188874

T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 antidiagonally or horizontally. A189064

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally. A189196

T(n,k)=Number of nXk 0..1 arrays with rows and antidiagonals unimodal. A223680

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(4,1). A268527

Expansion of 1/(1 - 2·x - x² - 2·x³). A77938

Number of nX3 binary arrays without the pattern 0 0 0 antidiagonally or horizontally. A188868

a(n) = (8·n+13·n³+3·n⁵)/24; also the sum of triangular numbers taken in successive groups of increasing size (see Example). A260513

T(n,k)=Number of nXk 0..3 arrays with no three equal values forming an isosceles triangle, and new values introduced in 0..3 order. A273968

Positive numbers having the same set of digits in base 7 and base 10. A37440