13417
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13418
- 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
- 13416
- Möbius Function
- -1
- Radical
- 13417
- 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
- 120
- 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
- 1591
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that x^43 = 2 has no solution mod p.at n=36A059243
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=18A067860
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=17A088291
- Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups.at n=29A092946
- Numbers k such that 13k = 6j^2 + 6j + 1.at n=26A106390
- Primes connected to two primes by the (p+1)/2 and 2p-1 operators.at n=32A109835
- Primes such that the sum of the predecessor and successor primes is divisible by 43.at n=37A113158
- Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=20A114923
- Triangle read by rows in which row n gives list of prime factors of p^p + 1 where p = prime(n).at n=21A125136
- a(n) = Sum_{k=0..floor(n/2)} binomial(n-k, floor((n-k)/2)).at n=15A129384
- Primes congruent to 10 mod 41.at n=36A142207
- Primes congruent to 1 mod 43.at n=37A142250
- Primes congruent to 22 mod 47.at n=38A142373
- Primes congruent to 40 mod 49.at n=38A142448
- Primes congruent to 8 mod 53.at n=32A142538
- Primes congruent to 52 mod 55.at n=35A142638
- Primes congruent to 24 mod 59.at n=24A142751
- Primes congruent to 58 mod 61.at n=24A142856
- Primes of the form 20*k^2 + 36*k + 17.at n=10A154419
- Primes p = prime(k) of form 13//r, s//13 or t//13//u and sod(p) = sod(k).at n=17A169645