Properties of the Number 7513

Seven Thousand Five Hundred Thirteen

Basics

Value: 7512 → 7513 → 7514

Parity: odd

Prime: No

Previous Prime: 7507

Next Prime: 7517

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 683

Divisors: 1, 11, 683, 7513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101011001

Octal: 16531

Duodecimal: 4421

Hexadecimal: 1d59

Square: 56445169

Square Root: 86.67756341753038

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) = (2·n-1)*(5·n²-5·n+6)/6. A63489

Eight white kings and one red king on a 3 X 3 chessboard. G.f.: (1 + x)/(1 - 2·x - 11·x² - 6·x³). A179596

a(n) = n*(31·n + 1)/2. A22289

Number of distinct lines through the origin in 3-dimensional cube of side length n. A90025

Number of integer compositions of n that are the first sums of some composition with all parts > 1. A391235

Fundamental discriminants of real quadratic number fields with class number 5. A94614

Expansion of 4th power of continued fraction 1/ ( 1+q/ ( 1+q²/ ( 1+q³/ ( 1+q⁴/... )))). A55103

Number of (binary) bit strings of length n in which no even block of 0's is followed by an odd block of 1's. A65455

Number of ways 1/n can be expressed as the sum of four distinct unit fractions: 1/n = 1/w + 1/x + 1/y + 1/z satisfying 0 < w < x < y < z. A241883

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,0,1,2 for x=0,1,2,3,4. A198013