13883
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13884
- 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
- 13882
- Möbius Function
- -1
- Radical
- 13883
- 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
- 151
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1641
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Discriminants of quintic fields with 2 complex conjugates (negated).at n=19A023684
- a(n) = least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 3rd elementary symmetric function.at n=38A027917
- Prime number spiral (clockwise, Southwest spoke).at n=20A054568
- Beginning with 2 the smallest prime greater than the previous term such that the difference of successive terms is a distinct square.at n=13A084710
- Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=24A103807
- Smallest prime that becomes a product of n distinct primes when a 1 is prepended to it.at n=4A105526
- a(n) = prime(n^2 + n + 1).at n=40A122566
- Primes p such that q = p+d (with d >= 6) is the next prime and both p and q are Sophie Germain primes.at n=26A128825
- Home primes whose homeliness is greater than 3.at n=28A133961
- Home primes whose homeliness is 4.at n=17A133962
- Primes of the form 210k + 23.at n=34A140844
- Primes congruent to 8 mod 37.at n=41A142117
- Primes congruent to 25 mod 41.at n=40A142222
- Primes congruent to 37 mod 43.at n=39A142286
- Primes congruent to 18 mod 47.at n=35A142369
- Primes congruent to 16 mod 49.at n=35A142427
- Primes congruent to 50 mod 53.at n=30A142580
- Primes congruent to 23 mod 55.at n=40A142617
- Primes congruent to 18 mod 59.at n=32A142745
- Primes congruent to 36 mod 61.at n=26A142834