Properties of the Number 5513

Five Thousand Five Hundred Thirteen

Basics

Value: 5512 → 5513 → 5514

Parity: odd

Prime: No

Previous Prime: 5507

Next Prime: 5519

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 37 × 149

Divisors: 1, 37, 149, 5513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110001001

Octal: 12611

Duodecimal: 3235

Hexadecimal: 1589

Square: 30393169

Square Root: 74.24957912338628

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) = n*(4·n+1). A7742

Sum of the quadratic residues of prime(n). A76409

Numbers k such that 3^k + 26 is prime. A219044

a(n) = 8·n² + 4·n + 1. A102083

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the generalized pattern 23-1; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows. A260670

Exponential generating function is -f(x) * Integral_{t = 0..x} exp(exp(-t) - 1) dt, where f(x) = exp(1 - x - exp(-x)) is the exponential generating function for A014182. A14619

Sum of the quadratic nonresidues of prime(n). A125615

Minimal exponents m such that the fractional part of (10/9)^m obtains a maximum (when starting with m=1). A153695

Numbers k such that the fractional part of (10/9)^k is greater than 1-(1/k). A153696