13873
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13874
- 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
- 13872
- Möbius Function
- -1
- Radical
- 13873
- 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
- 182
- 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
- 1638
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- A variant of the cuban primes: primes p = (x^3 - y^3)/(x - y) where x = y + 2.at n=13A002648
- Numbers k such that (5^k - 1)/4 is prime.at n=13A004061
- Numbers k such that the continued fraction for sqrt(k) has period 97.at n=3A020436
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=28A031902
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 5).at n=43A035554
- Shifts left under transform T where Ta is (identity) DCONV a.at n=40A038046
- Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=19A052166
- Primes followed by a [4,2,4] prime difference pattern of A001223.at n=27A052378
- Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=32A054810
- a(n) is the least prime of the form prime(n)# * k + prime(n+1).at n=4A090186
- Numbers k such that 22*3^k + 1 is prime.at n=37A120491
- Primes q of the form a^3+b^2, such that p =A130467(n)= a^2+b^3 is prime and smaller than q; p < q ; b < a.at n=13A130468
- Row sums of triangle A135858.at n=24A135859
- G.f.: A(x) = x/(1-x) o x/(1-x^2) o x/(1-x^3) o x/(1-x^4) o..., composition of functions x/(1-x^n) for n = ...,3,2,1.at n=14A136750
- The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6*n, 0<k<n both primes.at n=45A139602
- Primes of the form 210n + 13.at n=32A140841
- Primes congruent to 15 mod 41.at n=36A142212
- Primes congruent to 27 mod 43.at n=39A142276
- Primes congruent to 8 mod 47.at n=35A142359
- Primes congruent to 6 mod 49.at n=38A142419