Properties of the Number 55381

Fifty-Five Thousand Three Hundred Eighty-One

Basics

Value: 55380 → 55381 → 55382

Parity: odd

Prime: Yes

Previous Prime: 55373

Next Prime: 55399

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 55381

Divisors: 1, 55381

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100001010101

Octal: 154125

Duodecimal: 28071

Hexadecimal: d855

Square: 3067055161

Square Root: 235.33168082517068

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 which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end). A69246

Prime number spiral (clockwise, Northwest spoke). A53999

Primes p such that p + googol is prime. A108250

Primes from merging of 5 successive digits in decimal expansion of cos(1). A104961

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 18. A31606

Multiplicity of highest weight (or singular) vectors associated with character chi₁₇₉ of Monster module. A34567

a(1)=2; for n>1 a(n) is the largest prime number m such that a(n-1)^1/(n-1)>m^1/n. A86566

Partial sums of orders of finite perfect groups (A060793). A121513

a(n) = prime(A003593(n)). A334276

Smallest composite k such that the n closest primes below and above k are symmetric about k. A55381