10089
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15600
- Proper Divisor Sum (Aliquot Sum)
- 5511
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6264
- Möbius Function
- 0
- Radical
- 3363
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 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
- a(n) = a(n-1) - 2*a(n-2) with a(0) = 2, a(1) = 1.at n=30A002249
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=35A017835
- Numbers k such that k and 9*k are anagrams.at n=2A023093
- Denominators of continued fraction convergents to sqrt(187).at n=8A041347
- Denominators of continued fraction convergents to sqrt(748).at n=8A042441
- a(n) is the unique odd positive solution y of 2^n = 7x^2 + y^2.at n=29A077021
- a(n) = 3*(2*n^2 + 1).at n=41A097803
- Numbers k such that k^2 = 8*j^2 + 9.at n=5A106329
- Expansion of (1-4x^2)/(1+3x+4x^2).at n=15A128415
- Ascending sequence of numbers such that the sum of any two distinct elements (even + odd) is a prime number.at n=29A180743
- G.f. satisfies: A(x) = A(x^2) + x*A(x)^2.at n=9A181999
- Numbers x whose digits can be permuted to produce a multiple of x.at n=8A245680
- a(n) = number of new distinct proper angles with vertex and legs on grid points in an n X n square grid that were not found in an (n-1) X (n-1) square grid.at n=27A252592
- a(n) = 2*(n-1)! + n + 1.at n=7A275929
- Expansion of Product_{k>=1} (1 - x^(12*k)) * (1 - x^(4*k-2)) / (1 - x^k).at n=46A280949
- Number of octagons that can be formed with perimeter n.at n=41A288254
- Number of nX3 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.at n=12A303795
- a(n) = (8*n^3 + 15*n^2 + 13*n)/6.at n=19A332698
- Numbers k such that 3*k and 7*k share the same set of digits.at n=40A362792