Properties of the Number 55513

Fifty-Five Thousand Five Hundred Thirteen

Basics

Value: 55512 → 55513 → 55514

Parity: odd

Prime: No

Previous Prime: 55511

Next Prime: 55529

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 43 × 1291

Divisors: 1, 43, 1291, 55513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100011011001

Octal: 154331

Duodecimal: 28161

Hexadecimal: d8d9

Square: 3081693169

Square Root: 235.61196913569566

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 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4. A196601

Partial sums of cuban primes A002407, that is, primes equal to the difference of two consecutive cubes. A221793

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 1,3,4,0,2 for x=0,1,2,3,4. A196646

Number of n X 4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4. A196597

G.f.: exp( ∑_n>=1 A119616(n)*xⁿ/n ) where A119616(n) = (σ(n)² - σ(n,2))/2. A201825

Class number h = h- * h+ of cyclotomic field Q( exp(2 π / prime(n)) ). A55513