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Properties of the Number 55633

Fifty-Five Thousand Six Hundred Thirty-Three

Basics

Value: 55632 → 55633 → 55634

Parity: odd

Prime: Yes

Previous Prime: 55631

Next Prime: 55639

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 55633

Divisors: 1, 55633

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100101010001

Octal: 154521

Duodecimal: 28241

Hexadecimal: d951

Square: 3095030689

Square Root: 235.8664876577425

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 having only {3, 5, 6} as digits. A260225
Primes p such that the order of 2 mod p is less than the square root of p. A333245
Number of arrays of 4 integers in -n..n with sum zero and equal numbers of elements greater than zero and less than zero. A201812
Prime powers that are equal to the sum of the first k prime powers (including 1) for some k. A364947
Primes p from A031924 such that A052180(p) = 23. A52238
Terms in A006512 containing the digit "6" at least once, such that changing every "6" to a "9" and vice versa yields a larger term in A006512. A123211
Smallest base b such that there exist exactly n Wieferich primes (primes p satisfying bp-1 == 1 (mod p2)) less than b. A255901
Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255087
a(1)=1; for n>1, define a sequence {b(m), m >= 1} by b(1)=n b(2)=13, and b(m) = A020639(b(m-2)) + A006530(b(m-1)); then a(n) is the number of terms in that sequence before the first of the infinite string of 4s. A271720
Number of nested algorithms a(m,n) where m is the number of items in a contaminated group and n is the total number of unclassified items (0 <= m <= n) (values read by antidiagonals). A55633