13799
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13800
- 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
- 13798
- Möbius Function
- -1
- Radical
- 13799
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1632
- 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=18A023684
- A000016-A000048 (when they are lined up so that the two 16's match).at n=56A053734
- Twice partitioned numbers: the number of ways a number can be partitioned into not necessarily different parts and each part is again so partitioned.at n=14A063834
- Primes p such that (p-1)/2 and (p-3)/4 are also prime.at n=23A066179
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=37A075707
- Least k such that the class number of quadratic order of discriminant D=-4k equals p, where p runs through the primes.at n=26A079029
- Primes prime(j) such that prime(j)-j is a true power of prime.at n=12A083240
- Number of different cycles computed with the generalized 3x+1 problem using C=2, B=Cn+m, A=C^m.at n=18A096010
- a(n) = the first prime yielding the record value A101116(n).at n=4A101117
- Primes with digit sum = 29.at n=31A106766
- Primes p such that p's set of distinct digits is {1,3,7,9}.at n=8A108386
- Least prime whose absolute difference between the sum of its even decimal digits and the sum of its odd decimal digits is n.at n=29A114442
- Number of imprimitive (periodic) n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed.at n=57A115118
- Number of imprimitive (periodic) n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed.at n=38A115118
- Number of imprimitive (periodic) bracelets (or necklaces) with n red or blue beads such that the beads switch colors when bracelet is turned over.at n=37A115121
- Number of imprimitive (periodic) bracelets (or necklaces) with n red or blue beads such that the beads switch colors when bracelet is turned over.at n=56A115121
- Primes of the form k^3 - k - 1.at n=12A116581
- Prime quartet leaders: largest number of a prime quartet.at n=31A119892
- a(n) = n^3 - n - 1.at n=23A126420
- Father primes of order 11.at n=17A136080