2880
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
- 42
- Divisor Sum
- 9906
- Proper Divisor Sum (Aliquot Sum)
- 7026
- 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
- 30
- Omega Function (Ω)
- 9
- 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
- 22
- 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
- Order of the group SL(2,Z_n).at n=14A000056
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=39A000082
- Number of invertible 2 X 2 matrices mod n.at n=9A000252
- Number of permutations of length n with exactly two valleys.at n=2A000487
- Jordan-Polya numbers: products of factorial numbers A000142.at n=41A001013
- An operational recurrence.at n=5A001577
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=19A001766
- Generalized sum of divisors function.at n=38A002132
- Smallest number with 2n divisors.at n=20A003680
- Number of spanning trees with degrees 1 and 3 in K_3 X P_2n.at n=3A003691
- Smallest number with exactly n divisors.at n=41A005179
- Smallest k such that sigma(x) = k has exactly n solutions.at n=29A007368
- The minimal numbers: sequence A005179 arranged in increasing order.at n=27A007416
- Sum of divisors of superabundant numbers (A004394).at n=14A007626
- Determinant of character table of symmetric group S_n.at n=5A007870
- Coordination sequence T1 for feldspar.at n=36A008254
- Triangle read by rows: T(n,k) (n >= 1, 0 <= k <= ceiling(n/2)-1) = number of permutations of [n] with k peaks.at n=14A008303
- Theta series of {D_6}* lattice.at n=19A008425
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=11A008663
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=38A008665