13877
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13878
- 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
- 13876
- Möbius Function
- -1
- Radical
- 13877
- 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
- 32
- 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
- 1639
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=32A054811
- Primes p such that 2^j+p^j are primes for j=0,1,2,4.at n=8A094487
- Expansion of 1 / Product_{n>=0} (1-q^(5n+1))(1-q^(5n+2))(1-q^(5n+3)).at n=47A107234
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=28A107312
- Primes of the form 210k + 17.at n=32A140842
- Primes congruent to 19 mod 41.at n=41A142216
- Primes congruent to 31 mod 43.at n=39A142280
- Primes congruent to 12 mod 47.at n=35A142363
- Primes congruent to 10 mod 49.at n=36A142422
- Primes congruent to 44 mod 53.at n=28A142574
- Primes congruent to 12 mod 59.at n=29A142739
- Primes congruent to 30 mod 61.at n=24A142828
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3.at n=34A146348
- Primes that are the difference between a fourth power and a positive cube.at n=23A161735
- Primes p such that (p reversed)+10 is a square.at n=7A167474
- Number of compositions of n where each pair of adjacent parts is relatively prime.at n=16A167606
- Primes of form 4k+1 where k is a Pythagorean prime.at n=36A175600
- Primes p such that p^3 = q//3 for a prime q, where "//" denotes concatenation.at n=36A176838
- Upper s-Wythoff sequence, where s=A081276 (eighth cubes). Complement of A184431.at n=46A184432
- Primes p such that the period of the continued fraction of (1-sqrt(p))/2 has length 3 and p is not of the form k^2+1.at n=15A188136