9072
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
- 50
- Divisor Sum
- 30008
- Proper Divisor Sum (Aliquot Sum)
- 20936
- 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
- 2592
- Möbius Function
- 0
- Radical
- 42
- 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
- 65
- 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
- Period of 1/n! in base 10.at n=16A000976
- Expansion of g.f. (1+x)/(1-6*x).at n=5A003949
- a(n) = floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5)*floor((n+4)/5).at n=31A008382
- Expansion of e.g.f. sinh(sin(log(1+x))).at n=8A009586
- Triangle read by rows, the inverse Bell transform of n!*binomial(4,n) (without column 0).at n=42A011801
- Numbers of form 6^i*7^j, with i, j >= 0.at n=16A025626
- Even 10-gonal (or decagonal) numbers.at n=24A028994
- Expansion of Product_{k >= 1} 1/(1-x^k)^c(k), where c(1), c(2), ... = 2 3 2 3 2 3 2 3 ....at n=15A029863
- a(n) = 7*n^2.at n=36A033582
- a(n) = n^2*binomial(2*n-2, n-1).at n=6A037966
- Sums of 2 distinct powers of 6.at n=14A038478
- Numbers having four 0's in base 6.at n=25A043372
- Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to reverse, complement and reversed complement.at n=18A045665
- Numbers that are divisible by exactly 9 primes with multiplicity.at n=40A046312
- Expansion of e.g.f.: x^2*(exp(x)-1)^2.at n=9A052760
- Sums of two powers of 6.at n=19A055257
- Coefficient triangle for certain polynomials.at n=19A055864
- Fifth column of triangle A055864.at n=5A055868
- Irregular triangle read by rows: T(n,k) is the number of elements of alternating group A_n having order k, for n >= 1, 1 <= k <= A051593(n).at n=49A057740
- Numbers that are the products of distinct substrings (>1) of themselves and do not end in 0.at n=14A059470