9240
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 64
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 25320
- 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
- 1920
- Möbius Function
- 0
- Radical
- 2310
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 5
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
- 34
- 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
- Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=35A000793
- Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=34A000793
- Eighth column of quadrinomial coefficients.at n=7A001919
- Increasing values of A000793 (largest order of permutation of n elements).at n=22A002809
- Maximal period of an n-stage shift register.at n=13A005417
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=44A005598
- a(n) = n*(n-1)*(n-2) (or n!/(n-3)!).at n=22A007531
- Number of planted trees where non-root, non-leaf nodes an even distance from root are of degree 2.at n=16A007562
- Theta series of {D_7}* lattice.at n=48A008423
- Theta series of D_7 lattice.at n=6A008429
- Theta series of {D_7}^{+} packing.at n=48A008435
- Number of ways of writing n as a sum of 7 squares.at n=12A008451
- Degrees of irreducible representations of group U6(2).at n=27A008948
- Degrees of irreducible representations of group U6(2).at n=26A008948
- Degrees of irreducible representations of group U6(2).at n=25A008948
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=57A011901
- a(n) = floor(n(n-1)(n-2)(n-3)/19).at n=22A011929
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/23 ).at n=23A011933
- Numbers k such that sigma(k)/phi(k) sets a new record.at n=18A018894
- a(n) = n*(17*n - 1)/2.at n=33A022274