9727
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9936
- Proper Divisor Sum (Aliquot Sum)
- 209
- 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
- 9520
- Möbius Function
- 1
- Radical
- 9727
- 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
- 91
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 97.at n=31A031595
- Number of partitions of n such that cn(0,5) = cn(1,5) = cn(3,5) <= cn(2,5) = cn(4,5).at n=74A036866
- Comparisons needed for Batcher's sorting algorithm applied to 2^n items.at n=9A053545
- (n - phi(n)) | sigma(n) for composite n not congruent to 2 (mod 4).at n=23A055164
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=37A055468
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=27A057123
- Nonnegative integers n such that 13*n^2 + 13*n + 1 is a square.at n=4A104240
- Where records occur in A111390.at n=41A114111
- Triangle, read by rows, where column 0 is [1,-1,-2,-3,...,-n,...] and column k+1 is generated by the binomial transform of column k preceded by a zero (column k includes the k zeros above the main diagonal).at n=62A117334
- Floor of the area of consecutive Prime-Indexed Prime triangles.at n=7A119659
- A sequence of asymptotic density zeta(10) - 1, where zeta is the Riemann zeta function.at n=9A143036
- Partial sums of A151779.at n=37A151781
- a(n) = 512n - 1.at n=18A158011
- a(n) = 256*n - 1.at n=37A158250
- a(n) = 38*n^2 - 1.at n=15A158596
- The trisection A178242(3n+2).at n=45A178370
- a(n) = (3*n+7)*(3*n+2)/2.at n=45A179436
- a(n) = 19*2^n-1.at n=9A198276
- Triangle T(n,k) read by rows: coefficient [x^(n-k+1)] of the Zwegers polynomial r_(n)(x), 1 <= k <= n.at n=30A210938
- Number of partitions of n such that the successive differences of consecutive parts are nondecreasing.at n=57A240026