3720
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 7800
- 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
- 960
- Möbius Function
- 0
- Radical
- 930
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 38
- 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
- 2nd differences of factorial numbers.at n=5A001564
- Coordination sequence T1 for Moganite.at n=39A008258
- Coordination sequence T2 for Moganite, also for BGB1.at n=39A008259
- Orders of non-cyclic simple groups (divided by 4).at n=17A008976
- Coordination sequence T1 for Zeolite Code -ROG.at n=46A009859
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=13A010012
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=32A011890
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=19A011935
- Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203).at n=50A020492
- Numbers k such that d(k) (number of divisors) divides phi(k) (Euler function) divides sigma(k) (sum of divisors).at n=39A020493
- a(n) = n*(29*n + 1)/2.at n=16A022287
- Coordination sequence T3 for Zeolite Code CGS.at n=45A027367
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=27A029488
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=30A033996
- a(n) = floor(n^2/4)*(n/2).at n=31A034828
- Number of partitions of n into parts not of the form 19k, 19k+2 or 19k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 8 are greater than 1.at n=33A035971
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(3,5) <= cn(2,5) = cn(4,5).at n=63A036864
- Partial sums of A045954.at n=41A045964
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=30A047866
- Triangular array formed from successive differences of factorial numbers.at n=30A047920