10589
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10590
- 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
- 10588
- Möbius Function
- -1
- Radical
- 10589
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1291
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=41A007700
- Numbers k such that the continued fraction for sqrt(k) has period 91.at n=2A020430
- The sequence m(n) in A022905.at n=46A022907
- Primes that remain prime through 3 iterations of the function f(x) = 2*x + 1.at n=11A023272
- Decimal concatenation of n-th lucky number and n-th prime number.at n=23A032604
- Denominators of continued fraction convergents to sqrt(422).at n=9A041803
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(Q).at n=43A057473
- Primes starting a Cunningham chain of the first kind of length 4.at n=6A059763
- Irregular primes with irregularity index three.at n=17A060975
- Numerators of partial sums of reciprocals of primorial numbers.at n=5A064646
- Numbers n such that n, 2n+1, 3n+2, 4n+3 are primes.at n=4A067257
- Five-digit distinct-digit primes.at n=18A074671
- a(n) = A077704(n+1)/A077704(n).at n=24A077705
- Row sums of A078939.at n=5A078945
- a(n) = p - A072181(n), where p is the least prime > A072181(n) + 1.at n=39A082432
- Upper prime of a difference of 22 between consecutive primes.at n=19A098976
- Primes equal to a sum of primes with differences congruent to (2,4) mod 6.at n=16A104160
- Cumulative sum of primes p such that 2^p - 1 is a Mersenne prime.at n=17A109472
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=23A109982
- Smallest primes starting a complete three iterations Cunningham chain of the first or second kind.at n=11A110025