11159
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11160
- 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
- 11158
- Möbius Function
- -1
- Radical
- 11159
- 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
- 42
- 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
- 1351
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 255*2^k+1 is prime.at n=35A032504
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=25A035790
- First of four consecutive primes that comprise two sets of twin primes.at n=40A053778
- Prime number spiral (clockwise, West spoke).at n=18A054570
- Numbers k such that A055079(k) = 2^k.at n=26A057838
- Primes p such that p^12 reversed is also prime.at n=31A059705
- Prime numbers with odd digits in ascending order.at n=37A061244
- Lowest primes in twin packs.at n=32A069457
- Near twin primes of order 12: twin primes p,p+2 such that p+12 and p+14 are primes.at n=36A079292
- Smallest member of a pair of consecutive twin prime pairs that have no primes between them.at n=41A089628
- a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474).at n=29A096475
- Numerators of expansion of e.g.f. 2^(-1/2) * arcsinh(cos(x)), even powers only.at n=4A101922
- Smallest prime of the form: all ones followed by prime(n). a(n) >prime(n). 0 if no such prime exists.at n=16A114783
- The largest part summed over all partitions of n in which every integer from the smallest part to the largest part occurs.at n=43A117469
- Primes p that divide Fibonacci[(p-1)/7].at n=14A125253
- Consider the array T(n, m) = m-th prime of the form n*i(i+1)/2 +/- 1. This sequence is the main diagonal.at n=23A125765
- Primes with prime "Look And Say" descriptions from right to left (irrespective of method A or method B).at n=28A127179
- a(n) is n-th prime == -1 (mod 6n).at n=29A138905
- Primes of the form 15x^2+56y^2.at n=40A139991
- Primes of the form 210k + 29.at n=29A140845