3637
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3638
- 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
- 3636
- Möbius Function
- -1
- Radical
- 3637
- 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
- 17
- 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
- 509
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = n concatenated with n + 1.at n=35A001704
- Losing initial positions in game: two players alternate in removing >= 1 stones; last player wins; first player may not remove all stones; each move <= 3 times previous move.at n=24A003411
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=31A006562
- a(n) = floor(n*(n-1)*(n-2)/9).at n=33A011891
- Number of partitions of n into distinct parts, none being 8.at n=53A015755
- Coordination sequence T1 for Zeolite Code TER.at n=40A016433
- Numbers k such that the continued fraction for sqrt(k) has period 79.at n=2A020418
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=44A023250
- Product of n with 666 is palindromic.at n=25A030094
- Primes p such that 666p is palindromic.at n=1A030095
- Primes formed by concatenating n with n+1.at n=4A030458
- Pair up the numbers.at n=18A030656
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=15A031800
- Primes of form x^2+69*y^2.at n=28A033244
- Multiplicity of highest weight (or singular) vectors associated with character chi_118 of Monster module.at n=36A034506
- Concatenation of two or more consecutive positive integers.at n=45A035333
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=40A036806
- Coordination sequence T4 for Zeolite Code STT.at n=40A038417
- Primes with indices that are primes with prime indices.at n=24A038580
- Numerators of continued fraction convergents to sqrt(950).at n=8A042838