13807
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13808
- 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
- 13806
- Möbius Function
- -1
- Radical
- 13807
- 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
- 1633
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + k + 1.at n=36A002383
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEI = ZSM-18 Nan[AlnSi34-nO68].28H2O (n=2.1-5.7) starting with a T2 atom.at n=13A019144
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 5.at n=16A038636
- Number of distinct binary sequences of length k+n generated by a general (non-linear) binary feedback shift register of length k, for sufficiently large k.at n=9A049539
- Primes which can be written as (b^k+1)/(b+1) for positive integers b and k.at n=44A059055
- Primes p such that x^59 = 2 has no solution mod p.at n=31A059312
- Primes p such that q-p = 22, where q is the next prime after p.at n=25A061779
- Primes of the form 4*k^2 - 10*k + 7 with k positive.at n=20A073337
- Largest prime < n^3.at n=22A077037
- a(n) = 9*n^2 + 3*n + 1.at n=39A082040
- Primes of the form 1 + n + n^2 + n^3 + ... + n^k, n > 1, k > 1.at n=38A085104
- Numbers k such that 10^k + k is prime.at n=5A089379
- Expansion of g.f.: (1+x - sqrt(1-2*x-3*x^2-4*x^3))/(2+2*x+2*x^2).at n=12A108629
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=29A116886
- Position where concatenate(1,...,n) occurs for the first time in the decimals of Pi (where 3, 1, 4,... are at position 0, 1, 2,...).at n=3A121280
- Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes.at n=33A125146
- Primes that are simultaneously of the forms 24i+7 and 7j+24.at n=34A137657
- Primes congruent to 6 mod 37.at n=40A142115
- Primes congruent to 4 mod 43.at n=39A142253
- Primes congruent to 36 mod 47.at n=36A142387