9827
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
- 10176
- Proper Divisor Sum (Aliquot Sum)
- 349
- 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
- 9480
- Möbius Function
- 1
- Radical
- 9827
- 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
- 135
- 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) = 2*n^3 + 1.at n=17A033562
- Numbers k such that k^16 == 1 (mod 17^3).at n=32A056088
- Reverse of smallest prime factor of k = largest prime factor of k+1; a(1)=1.at n=10A071392
- Numbers which are the sum of three positive cubes and divisible by 31.at n=41A104054
- a(n) = n*(n^2 - 1)/2 - 1.at n=25A117560
- Number of Dyck paths such that the area between the x-axis and the path is n.at n=25A143951
- Nonzero coefficients of g.f.: A(x) = G(G(G(G(x)))) where G(x) = x + G(G(x))^3 is the g.f. of A153851.at n=4A153854
- a(n) = 289n + 1.at n=33A158255
- a(n) = 34*n^2 + 1.at n=17A158586
- The maximum integer dimension in which the volume of the hypersphere of radius n remains larger than 1.at n=23A177677
- Numbers k such that 17 is the largest prime factor of k^2 - 1.at n=38A181452
- Integers n such that both 2*n^2 + 3*(n+2)^2 and 3*n^2 + 2*(n+2)^2 are prime.at n=34A216849
- a(n) = n*(21*n-17)/2.at n=31A226491
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 221", based on the 5-celled von Neumann neighborhood.at n=23A270936
- Numbers k such that k!6 + 18 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=30A288445
- Number of T_0 integer partitions of n.at n=33A319564
- Numbers of the form 12*m-1 for which there is no representation as a sum (p*q + p*r + q*r) with three odd primes p <= q <= r.at n=50A369463