10889
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10890
- 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
- 10888
- Möbius Function
- -1
- Radical
- 10889
- 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
- 161
- 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
- 1324
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=36A020364
- Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=36A035982
- Primes which, although they have correct parity, are not in the prime number maze.at n=13A065123
- Sum of terms in n-th rows of triangle in A077159.at n=28A077162
- Primes p such that 11 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=16A080187
- Row sums of A081964.at n=28A081966
- Primes such that successive differences are distinct palindromes.at n=34A087582
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=31A089634
- Numbers k such that the k-th prime is of the form 2*j^2 + 1.at n=35A090612
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes.at n=34A100694
- Primes p = prime(k) such that both p+2 and prime(k+5)-2 are prime numbers.at n=39A105412
- Primes p such that p + 2 and p*(p + 2) + 2 are primes.at n=25A108013
- Primes p such that [p,p+2] is a pair of twin primes and (p*(p+2)-1)/2 is prime.at n=43A109945
- Emirps with only nonprime digits (i.e., 0, 1, 4, 6, 8, 9).at n=31A128390
- Primes of the form 41*x^2+38*x*y+41*y^2.at n=42A140013
- Primes of the form 21x^2+65y^2.at n=38A140023
- Primes congruent to 11 mod 37.at n=34A142120
- Primes congruent to 24 mod 41.at n=31A142221
- Primes congruent to 10 mod 43.at n=28A142259
- Primes congruent to 32 mod 47.at n=30A142383