3828
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 6252
- 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
- 1120
- Möbius Function
- 0
- Radical
- 1914
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 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
- Hexagonal numbers: a(n) = n*(2*n-1).at n=44A000384
- Binomial coefficient C(8n,n-9).at n=2A004390
- Coordination sequence T1 for Zeolite Code APD.at n=41A008034
- Coordination sequence T1 for Zeolite Code MON.at n=38A008181
- Number of partitions of n into at most 8 parts.at n=33A008637
- Coordination sequence T4 for Zeolite Code -PAR.at n=44A009858
- Numbers k such that the geometric mean of phi(k) and sigma(k) is an integer.at n=42A011257
- Even triangular numbers.at n=43A014494
- a(n) = 2*n*(4*n - 1).at n=22A014635
- Binomial coefficients C(n,86).at n=2A017750
- Binomial coefficients C(88,n).at n=2A017804
- Smallest triangular number that begins with n.at n=37A018855
- Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203).at n=51A020492
- a(n) = n*(7*n + 1)/2.at n=33A022265
- Number of partitions of n into 8 unordered relatively prime parts.at n=33A023028
- a(n) = n!*(1 - 1/2 + 1/3 - ... + c/n), where c = (-1)^(n+1).at n=6A024167
- Long leg of more than one primitive Pythagorean triangle.at n=31A024410
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=2, a(2)=1, and a(3)=3.at n=10A024961
- Number of partitions of n in which the greatest part is 8.at n=41A026814
- a(n) = A027082(n, n+4).at n=7A027086