13063
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13064
- 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
- 13062
- Möbius Function
- -1
- Radical
- 13063
- 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
- 138
- 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
- 1556
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=37A000702
- Numerators of double sums of reciprocals.at n=5A002429
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 11.at n=16A022325
- [ exp(20/21)*n! ].at n=6A030840
- a(n) = 2^(n-1)*(7*n-12) + 7.at n=9A048500
- Numbers that define integer Heronian triangles [prime(a(n)), prime(a(n)+1), A068965(n)] with area A068966(n).at n=19A068964
- Primes p such that (r-p)/log(p) > 3, where r is the next prime after p.at n=35A082888
- Number of primes of the form 7k+1 less than 10^n.at n=5A091120
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=31A095651
- Sum of the primes in ordered 3 X 3 prime squares.at n=25A105089
- Primes p such that little googol + p is prime.at n=29A108255
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 9.at n=13A109563
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=20A117458
- Numbers k such that tau(k) = tau(k+1) mod 691, where tau is Ramanujan's tau function A000594.at n=19A121733
- Primes p such that q-p = 30, where q is the next prime after p.at n=11A124596
- Cyclops primes.at n=36A134809
- Prime numbers p such that p +- ((p-1)/7) are primes.at n=9A137770
- Prime numbers, isolated from neighboring primes by more than 12.at n=29A137873
- List of triples of strictly non-palindromic primes without an ordinary prime in between.at n=16A138358
- Primes of the form 210k + 43.at n=32A140849