13903
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13904
- 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
- 13902
- Möbius Function
- -1
- Radical
- 13903
- 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
- 112
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1643
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 9*2^k + 1 is prime.at n=36A002256
- First term of weak 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=31A054823
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=30A054824
- Second term of weak prime sextet: p(m)-p(m-1) < 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=2A054829
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes.at n=38A100694
- Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=12A106300
- Primes p such that p*q-p-q and p*q+p+q are prime where q=nextprime(p).at n=29A128548
- a(n) is the number of indecomposable involutions of length n.at n=10A140456
- Primes of the form 210k + 43.at n=34A140849
- Primes congruent to 28 mod 37.at n=40A142137
- Primes congruent to 4 mod 41.at n=41A142201
- Primes congruent to 14 mod 43.at n=37A142263
- Primes congruent to 38 mod 47.at n=39A142389
- Primes congruent to 36 mod 49.at n=38A142444
- Primes congruent to 17 mod 53.at n=33A142547
- Primes congruent to 38 mod 59.at n=27A142765
- Primes congruent to 56 mod 61.at n=30A142854
- Number of 2-factors in P_6 X P_n.at n=5A145400
- Primes in toothpick sequence A153003.at n=32A153005
- Numbers n with property that n^2 is a concatenation of three 3-digit primes.at n=13A153139