17107
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17108
- 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
- 17106
- Möbius Function
- -1
- Radical
- 17107
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- 1972
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest nontrivial extension of n-th palindrome which is a prime.at n=25A030675
- McKay-Thompson series of class 45b for Monster.at n=57A058686
- n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=17A067861
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=29A085957
- a(1) = 2 then primes in nondecreasing order such that every concatenation is prime.at n=36A089702
- Expansion of x/(1-2*x-19*x^2).at n=7A099134
- Primes of the form p^3 + q^3 + r^3, where p, q and r are primes.at n=29A123597
- Prime numbers n such that n = p1^3 + p2^3 + p3^3, a sum of cubes of 3 distinct prime numbers.at n=9A137365
- Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime.at n=9A137366
- Primes of the form 2*3*5*7*k + 97.at n=41A141899
- Primes congruent to 46 mod 47.at n=38A142397
- Primes congruent to 41 mod 53.at n=36A142571
- Primes congruent to 56 mod 59.at n=37A142783
- Primes congruent to 27 mod 61.at n=33A142825
- Primes p such that p^3 - 24 and p^3 + 24 are also primes.at n=31A153323
- Total number of parts that are the smallest part or the largest part in all partitions of n.at n=26A182978
- Number of n X n 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors equal to 2.at n=7A197055
- a(n) = (11*6^n - 1)/5.at n=5A198849
- Primes having only {0, 1, 7} as digits.at n=27A199327
- Primes whose base-6 representation also is the base-3 representation of a prime.at n=16A235469