5003
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5004
- 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
- 5002
- Möbius Function
- -1
- Radical
- 5003
- 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
- 178
- 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
- 670
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a Goldbach conjecture: records in A185091.at n=33A002092
- From relations between Siegel theta series.at n=59A006476
- Bertrand primes: a(n) is largest prime < 2*a(n-1) for n > 1, with a(1) = 2.at n=13A006992
- Coordination sequence T2 for Zeolite Code DAC.at n=44A008068
- Coordination sequence T3 for Zeolite Code EUO.at n=44A008098
- Expansion of tan(log(1+x))/cosh(x).at n=7A009647
- The $620 prime list.at n=0A018188
- Fibonacci sequence beginning 4, 19.at n=13A022135
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=11A022464
- n written in fractional base 10/5.at n=43A024660
- Least m such that if r and s in {1/2, 1/5, 1/8,..., 1/(3n-1)}, satisfy r < s, then r < k/m < s for some integer k.at n=46A024823
- Primes p such that digits of p appear in p^2 and p^3.at n=30A030085
- a(n) is the least prime > a(n-1) whose digits do not appear in a(n-1).at n=21A030284
- 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 69.at n=24A031567
- Positive numbers having the same set of digits in base 6 and base 10.at n=18A037437
- Primes of form abs(2*n^2-199).at n=46A039950
- Denominators of continued fraction convergents to sqrt(199).at n=8A041369
- Denominators of continued fraction convergents to sqrt(931).at n=9A042801
- Numbers whose base-5 representation contains exactly three 0's and two 3's.at n=10A045201
- Primes with first digit 5.at n=17A045711