10883
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10884
- 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
- 10882
- Möbius Function
- -1
- Radical
- 10883
- 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
- 55
- 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
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1323
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Upper prime of a difference of 16 between consecutive primes.at n=35A031935
- Numbers k such that 111*2^k+1 is prime.at n=13A032405
- Number of partitions of n with equal number of parts congruent to each of 0, 3 and 4 (mod 5).at n=51A035577
- Numerators of continued fraction convergents to sqrt(978).at n=6A042892
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=26A046020
- Safe primes which are also Sophie Germain primes.at n=30A059455
- Smallest prime p such that n = A049108(p) = length of chain of iterates of Euler Phi starting with p.at n=13A060611
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=23A063048
- Primes which, although they have correct parity, are not in the prime number maze.at n=12A065123
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=24A088753
- Balanced primes of order eight.at n=18A096700
- Primes such that the sum of the predecessor and successor primes is divisible by 37.at n=35A113156
- Primes whose digit reversal is a pentagonal number (A000326).at n=11A115706
- Primes which are the sum of a twin prime pair - 1.at n=39A118072
- Primes in A023108(n); or Lychrel primes.at n=23A135316
- Expansion of (3-2*x-3*x^2)/(1-x-x^2-x^3).at n=16A141523
- Primes congruent to 5 mod 37.at n=36A142114
- Primes congruent to 18 mod 41.at n=30A142215
- Primes congruent to 4 mod 43.at n=29A142253
- Primes congruent to 26 mod 47.at n=29A142377