10939
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10940
- 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
- 10938
- Möbius Function
- -1
- Radical
- 10939
- 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
- 99
- 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
- 1329
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 9 positive 7th powers.at n=40A003376
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A014306.at n=37A024596
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A014306.at n=36A025110
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=37A039664
- G.f. is g.f. for A059271 divided by g.f. for A059227.at n=7A059272
- Primes which, although they have correct parity, are not in the prime number maze.at n=16A065123
- Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=4A086003
- Iccanobirt prime indices (14 of 15): Indices of prime numbers in A102124.at n=18A102144
- Primes such that the sum of the predecessor and successor primes is divisible by 31.at n=32A113155
- Number of partitions of n in which each part, with the possible exception of the largest, occurs at least three times.at n=53A116932
- Primes in the sequence A003294 of certain fourth powers bases.at n=5A134820
- Largest prime not exceeding Fibonacci(n) = A000045(n).at n=18A138184
- List of strictly non-palindromic twin primes {p, p+2}.at n=9A138329
- Primes of the form 210k + 19.at n=29A140843
- Primes congruent to 24 mod 37.at n=35A142133
- Primes congruent to 33 mod 41.at n=33A142230
- Primes congruent to 17 mod 43.at n=32A142266
- Primes congruent to 35 mod 47.at n=26A142386
- Primes congruent to 12 mod 49.at n=26A142424
- Primes congruent to 25 mod 51.at n=42A142491