3618
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8160
- Proper Divisor Sum (Aliquot Sum)
- 4542
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1188
- Möbius Function
- 0
- Radical
- 402
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 56
- 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 T3 for Zeolite Code AFS and BPH.at n=46A008025
- Coordination sequence T1 for Zeolite Code JBW.at n=40A008121
- Coordination sequence T2 for Zeolite Code JBW.at n=40A008122
- Coordination sequence T2 for Zeolite Code CZP.at n=39A019457
- Coordination sequence T2 for Zeolite Code SAO.at n=47A019572
- 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 60.at n=1A031558
- Numbers whose set of base-15 digits is {1,3}.at n=15A032922
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(3,5) <= cn(2,5) = cn(4,5).at n=71A036872
- Numbers whose 4th power is the sum of two positive cubes in a nontrivial way.at n=39A051387
- Positive numbers whose product of digits is 8 times their sum.at n=32A062040
- Numbers k such that k^2 + prime(k) and k^2 - prime(k) are both primes.at n=21A064483
- Numbers whose decimal representations consist of nested and /or concatenated ordered pairs 0-9, 1-8, 2-7, 3-6 and 4-5.at n=30A065751
- Harshad numbers which terminate in their digital sum.at n=25A070938
- Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(1,0)=2, a(n,0)=A006318(n), a(n,n)=A006319(n), a(n+1,0)=a(n,0)+a(n,n), a(n,m+1)= Sum A006318(k)*a(n-k,0), k=0..m.at n=24A073150
- Trajectory of 537 under the Reverse and Add! operation carried out in base 2, written in base 10.at n=3A077076
- Expansion of g.f. (1 - 3*x + x^2 - sqrt(1 - 6*x + 7*x^2 - 2*x^3 + x^4))/(2*x).at n=8A078482
- Main diagonal of A082228.at n=30A082231
- Four-column array read by rows: T(n,k) for k=0..3 is the k-th component of the vector obtained by multiplying the n-th power of the 4 X 4 matrix (1,1,1,1; 7,3,1,0; 12,2,0,0; 6,0,0,0) and the vector (1,1,1,1).at n=17A095797
- a(n) = 3*a(n-1) + C(n+3,3) for n > 0; a(0)=1.at n=6A097786
- Let a(1)=0. Then a(i+1)=position of first occurrence of a(i) in decimal expansion of log 2.at n=9A098289