13841
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13842
- 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
- 13840
- Möbius Function
- -1
- Radical
- 13841
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 107
- 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
- 1636
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=32A054808
- Primes of the form 2*k*prime(k) + 1.at n=13A062403
- a(n) = n^3 + 17.at n=24A084379
- Balanced primes of order seven.at n=15A096699
- Primes from merging of 5 successive digits in decimal expansion of Pi.at n=32A104825
- Largest prime factor of n!! + (n+1)!!.at n=29A118333
- Primes for which the weight as defined in A117078 is 23.at n=29A119504
- Primes of the form p^3 + q^3 + r^3, where p, q and r are primes.at n=26A123597
- Primes in A132286.at n=30A132287
- Prime numbers n such that n = p1^3 + p2^3 + p3^3, a sum of cubes of 3 distinct prime numbers.at n=7A137365
- Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime.at n=7A137366
- Numbers which are the sum of 3 cubes of distinct odd primes.at n=39A138853
- Primes congruent to 24 mod 41.at n=40A142221
- Primes congruent to 38 mod 43.at n=37A142287
- Primes congruent to 23 mod 47.at n=34A142374
- Primes congruent to 23 mod 49.at n=37A142433
- Primes congruent to 8 mod 53.at n=34A142538
- Primes congruent to 36 mod 55.at n=37A142626
- Primes congruent to 47 mod 57.at n=40A142694
- Primes congruent to 35 mod 59.at n=29A142762