10183
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 617
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9568
- Möbius Function
- 1
- Radical
- 10183
- 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
- 86
- 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
- Numbers n such that 167*2^n+1 is prime.at n=4A032460
- Sort then Add, a(1)=29.at n=13A033904
- a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) properly contained in the digits of a(n+1)^2, with a(0)=2.at n=7A065298
- a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=2.at n=11A067975
- Expansion of 1+x*(1-x-4*x^2)/((1+x)*(1-2*x)*(1-3*x)).at n=10A087432
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=30A089493
- Number of closed walks of length n at a base vertex of a truncated tetrahedron (triangular prism).at n=10A094554
- Coefficients of the C-Dyson Mod 27 identity.at n=35A104503
- a(n) = A001672(n) - A115239(n).at n=9A115240
- Row sums of triangle A137680.at n=11A137681
- Number of nondecreasing integer sequences of length 22 with sum zero and sum of absolute values 2n.at n=12A158156
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 3 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=35A166053
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=24A213319
- T(n,k)=Number of 0..2 colorings of an nx(k+1) array circular in the k+1 direction with new values 0..2 introduced in row major order.at n=46A214101
- Sum of the absolute values of the antidiagonals of the triangle A135929(n) companion. See the comment.at n=30A219795
- First differences of A219795.at n=33A219865
- Number of partitions n such that the multiplicity of the number of even parts is a part.at n=39A240540
- Exceptional odd numbers D that do not admit a solution to the Pell equation X^2 - D Y^2 = +2.at n=44A263010
- Numbers k such that k![4] + 2 is prime, where k![4] = A007662(k) = quadruple factorial.at n=35A283553
- Expansion of Sum_{k>=0} k! * x^(k*(k+1)/2) / Product_{j=1..k} (1 - x^j)^j.at n=20A306665