3060
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 6768
- 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
- 768
- Möbius Function
- 0
- Radical
- 510
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=18A000332
- Number of compositions of n into 5 ordered relatively prime parts.at n=14A000743
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=30A001239
- Number of connected partially ordered sets with n labeled points.at n=5A001927
- Max_{k=0..n} { Number of partitions of n into exactly k parts }.at n=39A002569
- a(n) = binomial(3n+6, n).at n=4A003408
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation and reflection.at n=38A003453
- Binomial coefficient C(2n,n-5).at n=4A004311
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=45A005449
- Theta series of 18-dimensional lattice associated with Sp_4(4), with det 1024 and minimal norm 4.at n=2A005944
- Theta series of 18-dimensional lattice associated with Sp_4(4), with det 256 and minimal norm 3.at n=4A005950
- Number of paraffins (see Losanitsch reference for precise definition).at n=11A006010
- Number of sensed planar maps with n edges and without faces or vertices of degree 1.at n=9A006396
- Molien series for A_9.at n=30A008632
- Number of partitions of n into at most 9 parts.at n=30A008638
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=13A008654
- Numbers that are the sum of 3 positive cubes in more than one way.at n=21A008917
- "Pascal sweep" for k=9: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=50A009540
- Coordination sequence T2 for Zeolite Code CON.at n=39A009869
- Coordination sequence T4 for Zeolite Code iRON.at n=39A009884