11057
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11058
- 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
- 11056
- Möbius Function
- -1
- Radical
- 11057
- 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
- 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
- 1339
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From table of maximal epacts e(p) and corresponding primes p, for x_0=2, x_{m+1} = (x_m)^2-1; sequence gives p.at n=30A014426
- Primes that are palindromic in base 7.at n=35A029975
- [ exp(11/14)*n! ].at n=6A030917
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=24A035790
- Numbers whose base-7 representation contains exactly four 4's.at n=9A043412
- First of four consecutive primes that comprise two sets of twin primes.at n=39A053778
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=27A054811
- Lowest primes in twin packs.at n=31A069457
- Least m such that A078142(m) gives the n-th prime, where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=40A073939
- Near twin primes of order 12: twin primes p,p+2 such that p+12 and p+14 are primes.at n=35A079292
- Smallest member of a pair of consecutive twin prime pairs that have no primes between them.at n=40A089628
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=20A101783
- Cyclops primes.at n=17A134809
- Primes of the form 2*p(k)+3*p(k+1)+4*p(k+2) for some k, where p(k)=A000040(k).at n=33A138665
- Greatest prime factor of 2*n^4 + 1.at n=36A140538
- Primes congruent to 21 mod 31.at n=42A142025
- Primes congruent to 31 mod 37.at n=40A142140
- Primes congruent to 28 mod 41.at n=30A142225
- Primes congruent to 6 mod 43.at n=33A142255
- Primes congruent to 12 mod 47.at n=28A142363