Properties of the Number 53609

Fifty-Three Thousand Six Hundred Nine

Basics

Value: 53608 → 53609 → 53610

Parity: odd

Prime: Yes

Previous Prime: 53597

Next Prime: 53611

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 53609

Divisors: 1, 53609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000101101001

Octal: 150551

Duodecimal: 27035

Hexadecimal: d169

Square: 2873924881

Square Root: 231.53617427952807

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

Number of integer partitions of n with unimodal run-lengths. A332280

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2, 6,6]; short d-string notation of pattern = [266]. A78849

Positive integers of the form (18·m²+1)/11. A113338

Primes p such that 8p +1 and (p-1)/8 are primes. A85958

Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,6,6). A78951

Primes p such that p+2 is prime with prime(p+2)-prime(p)=6. A261533

a(n)= least initial term of n consecutive primes {p(m),..,p(m+n-1)} such that all numbers {1+p(m),..,1+p(m+n-1)} are a product of the same number k primes, where p(m) is m-th prime A000040(m). A254787

Primes that are sums of a sequence of consecutive terms of A006094. A340537

Truncate Stirling's asymptotic series for 2! after n terms and round to the nearest integer. A362114

Primes of form x²+1 where x = LCM(1,2,...,k) for some k. A53609