9272
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18600
- Proper Divisor Sum (Aliquot Sum)
- 9328
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 2318
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- Primitive weird numbers: weird numbers with no proper weird divisors.at n=6A002975
- Numbers k such that 6!*(2*k-7)!/(k!*(k-1)!) is an integer.at n=10A004786
- Numbers k such that 7!*(2k-8)!/(k!*(k-1)!) is an integer.at n=12A004787
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=11A004929
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=6A006037
- If a, b in sequence, so is ab+8.at n=34A009331
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BIK = Bikitaite Li2[Al2Si4O12].2H2O starting from a T2 atom.at n=12A019077
- Expansion of (eta(q) * eta(q^9))^12 in powers of q.at n=15A034436
- Row 3 of array in A047666.at n=23A047667
- Triangle T(n,k) of numbers of minimal 5-covers of an unlabeled n+5-set that cover k points of that set uniquely (k=5,..,n+5).at n=31A057968
- Triangle of numbers relating two sequences A073155 and A073156.at n=33A073153
- Numbers k such that sigma(k) is a harmonic number.at n=36A074245
- Triangle T(n,k) read by rows, defined by T(n,k) = (n-k)*T(n-1,k)+Sum(k=1..n, T(n-1,k)); T(1,1) = 1, T(1,k)= 0 if k >1.at n=24A089225
- Weird numbers m such that the sum of their divisors below A033880(m) is greater than A033880(m) = abundance of m.at n=0A100696
- Start with 1 and repeatedly reverse the digits and add 71 to get the next term.at n=26A118218
- Weird numbers (A006037) not divisible by 5.at n=3A138850
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (0, -1), (0, 1), (1, -1), (1, 0), (1, 1)}.at n=7A151494
- Numbers m such that m and m+22 have the same sum of divisors.at n=33A172333
- a(n) = Sum_{k=0..n} C(n,k)*3^(k*(n-k))/2^n.at n=6A172389
- Numbers n such that sigma(sigma(phi(n))) = sigma(sigma(n)).at n=17A172466