11617
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11618
- 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
- 11616
- Möbius Function
- -1
- Radical
- 11617
- 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
- 143
- 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
- 1397
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Earliest monotonic sequence fixed (apart from signs) under reversion.at n=13A007303
- Positive numbers k such that k and 6*k are anagrams in base 9 (written in base 9).at n=3A023083
- a(n) = T(n,2n-4), T given by A027023.at n=9A027028
- Upper prime of a difference of 20 between consecutive primes.at n=22A031939
- Smallest prime == 1 mod (n^2).at n=43A035091
- Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=26A049493
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=23A059287
- Primes with 10 as smallest positive primitive root.at n=32A061323
- Numbers k such that prime(k) + prime(k+1)*2 is a square.at n=23A064504
- 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=14A067860
- Centered 22-gonal numbers.at n=32A069173
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=28A070184
- Choose a(n) so that 2*3*5*13*...*a(n) - 1 is prime; a(n) is prime; and a(n) > a(n-1).at n=46A087898
- 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=13A088291
- Primes of the form 6*k^2 + 1.at n=12A090687
- Primes prime(k) such that (prime(k-1) + prime(k+1) + prime(k+2))/prime(k) = 3.at n=18A094933
- Numbers k such that 10^k + 5*R_k + 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=20A102938
- Primes of the form 64n+33.at n=40A105128
- Primes p such that little googol + p is prime.at n=26A108255
- Primes for which the weight as defined in A117078 is 7 and the gap as defined in A001223 is 4.at n=29A119593