9728
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 20460
- Proper Divisor Sum (Aliquot Sum)
- 10732
- 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
- 4608
- Möbius Function
- 0
- Radical
- 38
- Omega Function (Ω)
- 10
- 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
- 29
- 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
- Number of once reformable permutations of {1,2,...,n}.at n=7A007712
- High-temperature expansion of Ising model susceptibility chi_4 for square lattice.at n=3A010045
- a(n)=a(n-1)+a(n-4).at n=28A014098
- Expansion of g.f. (1+2*x)/(1-2*x)^2.at n=9A014480
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=42A017843
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=36A029695
- 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 49.at n=22A031547
- Decimal part of n-th root of a(n) starts with digit 3.at n=33A034080
- Numbers ending with '8' that are the difference of two positive cubes.at n=34A038863
- Denominators of continued fraction convergents to sqrt(136).at n=10A041249
- Numbers that are divisible by at least 10 primes (counted with multiplicity).at n=31A046313
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=20A046314
- n is divisible by the 4th power of the number of unitary divisors of n (A034444).at n=37A048170
- a(n) = T(n,2), array T as in A049600.at n=10A049611
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=31A051347
- a(n) = 2^(n-2)*(n^2 - n + 4).at n=9A053730
- Triangle of partial row sums (prs) of triangle A055249.at n=45A055252
- a(n) = T(n,n-4), array T as in A055807.at n=34A055809
- Numbers k such that 7*10^k + 3*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=14A056720
- T(n,k) = right- or upward-moving paths connecting opposite corners of an n X n chessboard, visiting the diagonal at k points between start and finish.at n=24A075435