3620
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7644
- Proper Divisor Sum (Aliquot Sum)
- 4024
- 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
- 1440
- Möbius Function
- 0
- Radical
- 1810
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 69
- 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
- Squares written in base 8.at n=43A002441
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=36A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=41A004785
- Coefficient of x^4 in expansion of (1+x+x^2)^n.at n=14A005712
- Coordination sequence T2 for Zeolite Code NAT.at n=40A008204
- Coordination sequence T3 for Zeolite Code PAU.at n=44A008221
- a(n) = Sum_{k=0..n} binomial(n, k) * k! / floor(k/2)!.at n=7A018191
- Coordination sequence T3 for Zeolite Code SAO.at n=47A019573
- Coordination sequence T4 for Zeolite Code SAO.at n=47A019574
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3.at n=29A024875
- T(4n,n), where T is the array in A026323.at n=4A026334
- Distinct even elements in 3-Pascal triangle A028262 (by row).at n=32A028269
- Even elements to right of central elements in 3-Pascal triangle A028262.at n=30A028273
- Number of partitions of n^3 into distinct cubes.at n=36A030272
- Least term in period of continued fraction for sqrt(n) is 6.at n=22A031430
- a(n) = 2*a(n-1) + a(floor(n/2)), with a(1) = 1, a(2) = 2, a(3) = 4.at n=11A033497
- Coordination sequence T4 for Zeolite Code SBT.at n=48A033615
- Discriminants of imaginary quadratic fields with class number 24 (negated).at n=33A048925
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049639.at n=51A049640
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A048149.at n=18A049712