4860
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
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 15288
- Proper Divisor Sum (Aliquot Sum)
- 10428
- 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
- 1296
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 165
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of different ways one can attack all squares on an n X n chessboard using the minimum number of queens.at n=7A002564
- Coordination sequence T1 for Zeolite Code ANA.at n=45A008031
- Coordination sequence T9 for Zeolite Code EUO.at n=43A008104
- Expansion of Product_{k>=1} (1 - x^k)^15.at n=8A010822
- Triangle of coefficients in expansion of (2+3x)^n.at n=25A013620
- Triangle T(n,k) read by rows, arising in enumeration of catafusenes.at n=42A024462
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=38A025200
- Dirichlet convolution of triangular numbers with themselves.at n=44A034715
- Dirichlet convolution of powers of 3 (3,9,27,...) with themselves.at n=5A034719
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*2^j.at n=23A038220
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*12^j.at n=16A038230
- Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*3^j.at n=19A038329
- All differences C(j)-C(i), j>i, of Catalan numbers A000108.at n=35A047075
- a(n) = T(5,n), array T given by A047858.at n=9A047862
- Values of e, the lesser key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=25A051892
- Invert transform applied twice to Pascal's triangle A007318.at n=24A055373
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=16A060664
- Orders of finite perfect groups (groups such that G = G' where G' is the commutator subgroup of G).at n=25A060793
- Multiples of 9 having only even digits.at n=43A061831
- Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction.at n=20A063436