3895
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 1145
- 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
- 2880
- Möbius Function
- -1
- Radical
- 3895
- Omega Function (Ω)
- 3
- 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
- 82
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Oscillates under partition transform.at n=45A007213
- Number of nodes in regular n-gon with all diagonals drawn.at n=18A007569
- Number of intersection points of diagonals of an n-gon in general position, plus number of vertices.at n=19A014626
- Sequence satisfies T^2(a)=a, where T is defined below.at n=45A027596
- Number of partitions satisfying cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5).at n=30A039838
- Numbers whose base-4 representation contains exactly one 0 and four 3's.at n=32A045070
- Starting positions of strings of 2 5's in the decimal expansion of Pi.at n=37A050238
- Coordination sequence T3 for Zeolite Code SAV.at n=47A057316
- a(1) = 1; a(n+1) = a(n) + (largest square <= a(n)).at n=14A060984
- a(n) = a(n-1) + the number of primes <= a(n-1).at n=33A061535
- Determinant of n X n matrix whose rows are cyclic permutations of 1..n-th nonprime (A018252).at n=3A067560
- Maximal coefficient of the polynomial (1-x)*(1-x^2)*...*(1-x^n).at n=57A086376
- (-1) times minimal coefficient of the polynomial (1-x)*(1-x^2)*...*(1-x^n).at n=56A086394
- G.f. A(x) satisfies: 6^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (6+z)^n - (1+z)^n + z^n = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.at n=8A100234
- Pythagorean years: a Pythagorean year is one whose digits partition into two disjoint sets such that, considering digital sums, the Pythagorean relation 5^2=4^2 + 3^2 is evinced.at n=40A101039
- Numbers k such that (k + prime(k)) and (k+1 + prime(k+1)) are divisible by 11.at n=34A107380
- Quintuple primorial n##### = n#5.at n=13A114421
- Number of fusenes with 24 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=10A123606
- Number of tilings of a 3 X n board with 1 X 1 and L-shaped tiles (where the L-shaped tiles cover 3 squares).at n=6A127867
- a(n) = n*(2*n + 13).at n=41A139578