3644
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
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6384
- Proper Divisor Sum (Aliquot Sum)
- 2740
- 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
- 1820
- Möbius Function
- 0
- Radical
- 1822
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 43
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T2 for Zeolite Code AFS.at n=46A008024
- Coordination sequence T2 for Zeolite Code BPH.at n=46A008056
- Coordination sequence T1 for Zeolite Code MON.at n=37A008181
- Molien series for A_7.at n=35A008630
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEP = Melanophlogite [Si46O92].qR starting with a T3 atom.at n=11A019155
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=9A020403
- Numbers with exactly 6 2's in their ternary expansion.at n=15A023704
- Plaindromes: numbers whose digits in base 3 are in nondecreasing order.at n=42A023745
- a(n) = (Sum_{i=0..n-1} (-1)^i/b(i)) * LCM{b(i): i=0..n-1}, where b(i) = C(i,floor(i/2)).at n=11A025554
- 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 30.at n=31A031528
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=18A031798
- Concatenation of n and n + 8 or {n,n+8}.at n=35A032613
- Convolution of natural numbers n >= 1 with Lucas numbers L(k) for k >= -4.at n=17A033817
- Numbers whose sum of reciprocals of digits is the reciprocal of an integer.at n=38A037264
- Sum of reciprocals of digits = 1.at n=20A037268
- a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=30A038664
- Numbers having three 8's in base 9.at n=4A043487
- Numbers n such that string 4,4 occurs in the base 10 representation of n but not of n-1.at n=36A044376
- Numbers n such that string 4,4 occurs in the base 10 representation of n but not of n+1.at n=36A044757
- Numbers k such that k^8 == 1 (mod 9^3).at n=9A056084