9287
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
- 4
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 289
- 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
- 9000
- Möbius Function
- 1
- Radical
- 9287
- 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
- 166
- 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
- Sum of next n primes.at n=14A007468
- Rectangular free polyominoes: number of n-celled polyominoes when the cell is a rectangle.at n=9A056780
- Composite numbers which in base 6 contain their largest proper factor as a substring.at n=3A063156
- Duplicate of A063156.at n=3A063876
- Numerator of Sum_{k=0..n} 1/C(3*n, 3*k).at n=4A100514
- Smallest a(n) such that the prime factorization of a(n)! contains at least one factor to each exponent between 1 and n.at n=40A177442
- Numbers n such that sopfr(n) - (floor(sqrt(n))*bigomega(n)) = floor(sqrt(n)).at n=17A180877
- Numbers m having the same sum of divisors as m+20 has.at n=24A181647
- Number of nX3 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.at n=5A201150
- Number of nX6 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.at n=2A201153
- T(n,k)=Number of nXk 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.at n=30A201155
- T(n,k)=Number of nXk 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.at n=33A201155
- The number of divisors d of n! such that d < A000793(n) (Landau's function g(n)) and the symmetric group S_n contains no elements of order d.at n=46A211391
- Number of partitions of 2n such that (sum of parts having multiplicity 1) = sum of all other parts.at n=27A240447
- Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 9 as largest digit.at n=36A257485
- Numbers k such that (29*10^k + 223)/9 is prime.at n=16A295608
- Number of weakly unimodal compositions of n in which the greatest part occurs exactly nine times.at n=60A320320
- Smallest number whose binary representation has exactly n 1 bits and for which the differences of pairs of positions of the 1 bits include all positive integers up to and including A005488(n).at n=4A335968
- G.f. A(x) satisfies: A(x) = A(x^2 - x^4)/x.at n=19A350475
- Number of ordered triples (a,b,c) of positive integers less than n with the property that n divides a*b*c.at n=35A352078