11717
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11718
- 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
- 11716
- Möbius Function
- -1
- Radical
- 11717
- 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
- 99
- 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
- 1406
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Triangle T(n,k), n>=1, read by rows, where T(n,k) is the number of lattice polygons with area n and perimeter 2*k.at n=42A008855
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=16A020394
- Primes that contain digits 1 and 7 only.at n=12A020455
- Primes having only {1, 4, 7} as digits.at n=29A079651
- If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e., a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. E.g. SC(232233) = 323322. Sequence contains primes p such that SC(p) is also a prime.at n=23A083983
- Smaller member of a twin prime pair with a triangular sum.at n=9A086816
- Primes such that successive differences are distinct palindromes.at n=35A087582
- Primes in which the digit string can be partitioned into three parts such that third (least significant) part is the product of the first two.at n=5A088294
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=33A089634
- a(n) = lesser of a pair of twin primes p, q=p+2 such that product of first n primes plus p is a prime and also product of first n primes plus q is a prime.at n=35A090795
- Primes prime(k) such that (prime(k-1) + prime(k+1) + prime(k+2))/prime(k) = 3.at n=19A094933
- Primes A005382(n) + A005384(n) - 1 with a twin prime A005382(n) + A005384(n) + 1.at n=19A099109
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=21A101783
- Smallest prime p with at least two non-overlapping occurrences of n in decimal representation of p.at n=16A103611
- Smallest prime factor of A104357(n) = A104350(n) - 1.at n=15A104358
- Primes p = prime(k) such that both p+2 and prime(k+5)-2 are prime numbers.at n=41A105412
- Transmutable primes: Primes with distinct digits d_i, i=1,m (2<=m<=4) such that simultaneously exchanging all occurrences of any one pair (d_i,d_j), i<>j results in a prime.at n=27A108388
- Primes in which the frequency of every digit is also prime.at n=3A113615
- Primes p that divide Fibonacci[(p+1)/7].at n=20A125252
- Lesser of twin primes isolated from neighboring primes by +- 10 (or more).at n=23A138063