1039
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1040
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1038
- Möbius Function
- -1
- Radical
- 1039
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 62
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 175
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of fixed-point-free permutation groups of degree n.at n=10A000637
- Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).at n=15A000923
- Primes with 3 as smallest primitive root.at n=41A001123
- Erroneous version of A000637.at n=10A001493
- Number of partitions of n that do not contain 1 as a part.at n=30A002865
- Primes p with a Fibonacci primitive root g, i.e., such that g^2 = g + 1 (mod p).at n=47A003147
- Numbers that are the sum of 9 positive 5th powers.at n=37A003354
- Self-convolution of Lucas numbers.at n=8A004799
- Class 4- primes (for definition see A005109).at n=24A005112
- Primes of the form 8n+7, that is, primes congruent to -1 mod 8.at n=44A007522
- Smallest prime with n distinct digits.at n=3A007809
- Coordination sequence T2 for Zeolite Code BRE.at n=21A008059
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=15A014223
- Primes p such that multiplicative order of 2 modulo p is odd.at n=51A014663
- Numbers n such that phi(n + 9) | sigma(n) for n not congruent to 0 (mod 3).at n=22A015849
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=0A020395
- Smallest nonempty set S containing prime divisors of 10k+7 for each k in S.at n=54A020635
- Primes p=prime(k) such that prime(k) + prime(k+3) = prime(k+1) + prime(k+2).at n=46A022885
- Primes p such that p + 10 is also prime.at n=53A023203
- Numbers m such that m and 2*m + 5 are both prime.at n=46A023205