9753
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13008
- Proper Divisor Sum (Aliquot Sum)
- 3255
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6500
- Möbius Function
- 1
- Radical
- 9753
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 122
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n(n-1)(n-2)(n-3)/18).at n=22A011928
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=35A020423
- Numbers whose base-5 representation contains exactly three 0's and three 3's.at n=3A045202
- 9*w(n) where : w(1)=w(2)=w(3)=1 w(n)=(w(n-1)*w(n-2)+(w(n-1)+w(n-2))/3) / w(n-3).at n=12A072563
- Numbers n such that RevBinary(RevDecimal(n))=RevDecimal(RevBinary(n)), where RevDecimal(n) is the decimal reversal of n (A004086) and RevBinary(n) is the binary reversal of n (A030101).at n=42A081433
- Numbers n such that mu(n) + mu(n+1) + mu(n+2) + mu(n+3) + mu(n+4) + mu(n+5) + mu(n+6) = 6.at n=7A082967
- Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes.at n=27A092127
- Numbers k such that k, k+2, k+4, k+6, k+8, k+10 are semiprimes.at n=7A092128
- Expansion of (b(q^6) * c(q^6)) / (b(q^3) * c(q^3)) in powers of q where b(), c() are cubic AGM theta functions.at n=22A102315
- Odd digits in decreasing order.at n=29A119252
- Initial term of a series of exactly n consecutive non-Niven (or Harshad) numbers.at n=20A144378
- a(n) = 4*n^2 + 3*n + 2.at n=49A185669
- a(n) = 3^(-1-floor(n/3))*A215829(n).at n=8A215831
- Semiprimes with digits in descending order that differ exactly by 2.at n=6A245044
- Number of length 3+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=37A248436
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 3", based on the 5-celled von Neumann neighborhood.at n=24A269912
- Indices of zeros in A269783.at n=40A269967
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 149", based on the 5-celled von Neumann neighborhood.at n=23A270319
- Expansion of (1+x)/ ((1+x)^3-7*x).at n=8A290186
- Positive integers with digits in decreasing order that differ by 2.at n=26A290951