Properties of the Number 55399

Fifty-Five Thousand Three Hundred Ninety-Nine

Basics

Value: 55398 → 55399 → 55400

Parity: odd

Prime: Yes

Previous Prime: 55381

Next Prime: 55411

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 55399

Divisors: 1, 55399

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100001100111

Octal: 154147

Duodecimal: 28087

Hexadecimal: d867

Square: 3069049201

Square Root: 235.36992161276683

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

Primes p such that p-1 is squarefree and all prime divisors of p-1 other than 11 are also in the sequence. A267504

Primes which set a new record for length of Pratt certificate. A37231

a(n+1) = smallest prime p > a(n) such that p-1 divides a(1)*a(2)*...*a(n); or if no such prime p exists, then a(n+1) = smallest prime > a(n). A282027

Primes with at least two identical trailing digits and at least two identical leading digits. A384015

a(n) is the smallest odd prime of the form ((1 + sqrt(2·n))^k - (1 - sqrt(2·n))^k)/(2·sqrt(2·n)). A292847

Number of stages of sieve of Eratosthenes needed to identify n as prime or composite. A55399

Integers d such that the longest possible arithmetic progression (AP) of primes with common difference d has exactly 10 elements. A360146

Number of (n+2)X5 binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals. A203350