2400
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 7812
- Proper Divisor Sum (Aliquot Sum)
- 5412
- 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
- 640
- 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
- 19
- 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
- a(n) = number of compositions of n in which the maximum part size is 4.at n=14A000102
- Number of ways of writing n as a sum of 6 squares.at n=11A000141
- Boustrophedon transform of squares.at n=6A000745
- Squares written in base 6.at n=24A001741
- a(n) = n!*n*(n-1)*(n-2)/36.at n=6A001810
- Denominator of constant term in polynomial arising from numerical integration formula.at n=5A002670
- a(n) = n*(n+2) = (n+1)^2 - 1.at n=48A005563
- Total number of triangles visible in regular n-gon with all diagonals drawn.at n=7A006600
- Some permutation of digits is a factorial number.at n=35A007926
- Some nontrivial permutation of digits is a factorial number.at n=29A007927
- Coordination sequence T1 for Zeolite Code AFT.at n=37A008026
- Coordination sequence T1 for Zeolite Code DAC.at n=31A008067
- Coordination sequence T4 for Zeolite Code MFI.at n=31A008167
- Coordination sequence T7 for Zeolite Code MFS.at n=30A008179
- Theta series of {D_6}* lattice.at n=22A008425
- Number of partitions of n into at most 7 parts.at n=32A008636
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=44A008665
- Coordination sequence T2 for Zeolite Code AFX.at n=37A009865
- Coordination sequence for NiAs(1), As position.at n=20A009943
- Number of standard Young tableaux of type (n,n,n) whose (2,1) entry is odd.at n=4A011553