3561
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4752
- Proper Divisor Sum (Aliquot Sum)
- 1191
- 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
- 2372
- Möbius Function
- 1
- Radical
- 3561
- Omega Function (Ω)
- 2
- 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
- 48
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Boustrophedon transform of sequence 1,1,0,0,0,0,...at n=8A000756
- Coordination sequence T2 for Zeolite Code AFT.at n=45A008027
- Coordination sequence T5 for Zeolite Code EUO.at n=37A008100
- Coordination sequence T4 for Zeolite Code NES.at n=38A008208
- (n,3,6) difference families over Z_n.at n=7A011996
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).at n=18A014148
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EUO = EU-1 Nan[AlnSi112-nO224] starting with a T5 atom.at n=11A019124
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=11A020399
- a(n) = sum of squares of first n positive integers congruent to 1 mod 4.at n=8A024381
- 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 38.at n=29A031536
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=26A031794
- Number of partitions in parts not of the form 23k, 23k+1 or 23k-1. Also number of partitions with no part of size 1 and differences between parts at distance 10 are greater than 1.at n=36A035989
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5).at n=28A039898
- Numbers n such that string 6,1 occurs in the base 10 representation of n but not of n-1.at n=38A044393
- Numbers n such that string 6,1 occurs in the base 10 representation of n but not of n+1.at n=38A044774
- a(n) is the least integer greater than a(n-1) such that a(n-1)*2^a(n) - 1 is prime, a(1) = 1.at n=15A046809
- Number of independent sets of nodes in C_4 X C_n (n > 2).at n=5A050402
- Number of hexagons that can be formed with perimeter n. In other words, partitions of n into six parts such that the sum of any 5 is more than the sixth.at n=48A069907
- Numbers k such that 10^999 + k is a (titanic) prime.at n=4A074282
- Expansion of (1-x)/(1-2*x+2*x^2+x^3).at n=16A078004