5903
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5904
- 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
- 5902
- Möbius Function
- -1
- Radical
- 5903
- 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
- 98
- 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
- 777
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(Fibonacci(n)/3).at n=22A004696
- Primes that are palindromic in base 7.at n=22A029975
- Primes p such that digits of p appear in p^2 and p^3.at n=32A030085
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 75.at n=29A031573
- Lower prime of a difference of 20 between consecutive primes.at n=6A031938
- Base-7 palindromes that start with 2.at n=38A043016
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 4).at n=57A046778
- a(n) = (F(8*n+6) - 2)/3, where F=A000045 (the Fibonacci sequence).at n=2A049659
- Numbers k such that 153*2^k-1 is prime.at n=33A050618
- Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6*n.at n=10A052359
- Numbers k such that k^18 == 1 (mod 19^3).at n=14A056089
- Primes p such that p^5 reversed is also prime.at n=33A059698
- Incrementally largest terms in the continued fraction for the constant given by Sum_{k>=0} A033308(k) / 2^k = 2.89104866587305422....at n=5A066707
- Integers k such that phi(prime(k)+1) = phi(prime(k)-1).at n=8A066902
- Primes equal to floor(Pi*x) where x is prime.at n=38A079593
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=13A094458
- Primes p such that p = (prime(n)+ prime(n+5))/2.at n=44A098032
- A Fibonacci convolution.at n=10A099484
- Primes of the form 100*n + 3.at n=19A101780
- Primes from merging of 4 successive digits in decimal expansion of Pi.at n=35A104824