9765
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 19968
- Proper Divisor Sum (Aliquot Sum)
- 10203
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 3255
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 73
- 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
- no
- Odd
- yes
Appears in sequences
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=22A005231
- a(n) = Product_{i=1..n} (2^i - 1). Also called 2-factorial numbers.at n=5A005329
- Odd primitive abundant numbers.at n=17A006038
- Number of free subsets of multiplicative group of GF(5^n).at n=5A007232
- Weight distribution of d=3 Hamming code of length 63.at n=4A010087
- Weight distribution of d=4 Hamming code of length 63.at n=2A010092
- Numbers whose base-6 representation is the juxtaposition of two identical strings.at n=44A020334
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=25A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=31A028688
- Numbers in which all pairs of consecutive base-5 digits differ by 3.at n=17A033076
- a(n) = LCM_{k=1..n} (2^k - 1).at n=5A034268
- Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+5} (1 - q^k)).at n=28A035301
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+3 or 24k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=52A036030
- Numbers whose base-5 representation contains exactly three 0's and three 3's.at n=4A045202
- Number of length 6 walks on an n-dimensional hypercubic lattice starting and finishing at the origin and staying in the nonnegative part.at n=9A064046
- a(n) is the unique positive integer m which has a self-conjugate partition whose parts are the first n primes.at n=37A067773
- Array of q-factorial numbers n!_q, read by ascending antidiagonals.at n=30A069777
- a(n) = lcm_{d|n} sigma(d).at n=31A069934
- Smallest number m such that m and the product of digits of m are both divisible by 7n, or 0 if no such number exists.at n=44A073908
- Smallest number m such that m and the product of digits of m are both divisible by 5n, or 0 if no such number exists.at n=62A073911