13633
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13634
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13632
- Möbius Function
- -1
- Radical
- 13633
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1612
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=24A002647
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=14A031834
- Expansion of ( 1-2*x ) / ( (x-1)*(2*x^2+3*x-1) ).at n=8A052986
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=29A059287
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=34A070184
- Primes of the form 47*k + 3.at n=35A100494
- Primes of the form 128n+65.at n=28A105129
- Primes in A023108(n); or Lychrel primes.at n=37A135316
- Prime numbers n such that n^2 +- (n-1) are primes.at n=34A137459
- Primes of the form x^2 + 1848*y^2.at n=37A139668
- Primes congruent to 21 mod 41.at n=33A142218
- Primes congruent to 2 mod 43.at n=38A142251
- Primes congruent to 12 mod 53.at n=34A142542
- Primes congruent to 48 mod 55.at n=37A142635
- Primes congruent to 4 mod 59.at n=27A142731
- Primes congruent to 30 mod 61.at n=23A142828
- Primes congruent to 32 mod 67.at n=24A154621
- a(n) = 13*n^2 + 10*n + 1.at n=32A161587
- Numbers n with property that n^3+n^2+{3,5} are twin primes.at n=40A168254
- Primes with exactly three 3's.at n=18A178552