3825
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
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 7254
- Proper Divisor Sum (Aliquot Sum)
- 3429
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- 0
- Radical
- 255
- 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
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=28A000338
- Numbers that are the sum of 2 squares in exactly 3 ways.at n=41A000443
- Coordination sequence T4 for Zeolite Code BOG.at n=44A008052
- a(n) = (n+1)*(2*n+1)*(3*n+1).at n=8A011199
- a(n) = (2*n - 13)*n^2.at n=15A015246
- a(0)=1, a(1)=2, a(n) = sum_{k=0}^{k=n-1} 2^k a(k).at n=5A015486
- (s(n)+s(n+1))/6, where s()=A006521.at n=13A016059
- (s(n)+s(n+1))/18, where s()=A006521.at n=16A016060
- Pseudoprimes to base 26.at n=29A020154
- Pseudoprimes to base 82.at n=41A020210
- Expansion of 1/((1-x)(1-2x)(1-8x)(1-10x)).at n=3A021268
- Numbers that are the sum of 2 nonzero squares in exactly 3 ways.at n=39A025286
- Numbers that are the sum of 2 distinct nonzero squares in exactly 3 ways.at n=38A025304
- Number of Hamiltonian cycles in the directed graph with 2n nodes {0..2n-1} and edges from each i to 2i (mod 2n) and to 2i+1 (mod 2n).at n=16A027362
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=19A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=24A028688
- Size of lexicographic code of length n, Hamming distance 8 and weight 8.at n=34A030069
- Numbers k such that 171*2^k+1 is prime.at n=14A032462
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+1 or 16k-1.at n=56A036020
- Coordination sequence T1 for Zeolite Code AFN.at n=44A038403