3822
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
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 5754
- 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
- 1008
- Möbius Function
- 0
- Radical
- 546
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 30
- 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
- a(n) = floor(n(n+2)(2n+1)/8).at n=24A002717
- Number of strict 7th-order maximal independent sets in path graph.at n=54A007386
- Coordination sequence T2 for Zeolite Code LAU.at n=44A008125
- Coordination sequence T3 for Zeolite Code LAU.at n=44A008126
- Coordination sequence for 4-dimensional RR-centered di-isohexagonal orthogonal lattice.at n=7A008528
- Bisection of A001400.at n=38A014125
- Coordination sequence T2 for Zeolite Code OSI.at n=41A016431
- Expansion of 1/((1-x)*(1-3x)*(1-6x)*(1-11x)).at n=3A021524
- a(n) = 49*(n-1)*(n-2)/2.at n=11A027469
- Triangle read by rows: T(n, k) = (k+1)*A132393(n+1, k+1), for 0 <= k <= n.at n=42A028421
- Product of n with 666 is palindromic.at n=29A030094
- Numbers each of whose runs of digits in base 12 has length 2.at n=27A033010
- Numbers whose base-12 expansion has no run of digits with length < 2.at n=40A033025
- Numbers whose base-16 expansion has no run of digits with length < 2.at n=28A033029
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(3,5) < cn(2,5) = cn(4,5).at n=73A036876
- Bisection of A028289.at n=35A038390
- Minimum area rectangle into which squares of sizes 1, 2, 3, ... n can be packed.at n=21A038666
- Numbers n such that string 2,2 occurs in the base 10 representation of n but not of n-1.at n=38A044354
- Numbers n such that string 2,2 occurs in the base 10 representation of n but not of n+1.at n=38A044735
- Positive integers having more base-12 runs of even length than odd.at n=29A044838