10196
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 17850
- Proper Divisor Sum (Aliquot Sum)
- 7654
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5096
- Möbius Function
- 0
- Radical
- 5098
- Omega Function (Ω)
- 3
- 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
- 60
- 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
- yes
- Odd
- no
Appears in sequences
- Number of 5th-order maximal independent sets in path graph.at n=52A007380
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=26A020433
- Coefficients in expansion of Sum_{n >= 1} x^n/(1-x^n)^4.at n=36A059358
- a(n) = A061086(n) / n.at n=13A061087
- a(n) = Sum_{k=0..floor(n/7)} C(n-5*k,2*k).at n=30A098574
- Numbers n such that (sigma(n-2)+sigma(n+2))/2 = sigma(n).at n=29A099631
- Binomial transform of a fractal structured sequence.at n=12A106496
- Number of permutations avoiding the patterns {2413,2431,4213,3412,3421,4231,4321,4312}; number of strong sorting class based on 2413.at n=11A111281
- Sum of the even parts in all partitions of n into distinct parts.at n=35A116684
- Moebius transform of tetrahedral numbers.at n=38A117108
- Numerator of the coefficient of x^(2n) in the expansion of 1/x^4 - 1/(3*x^2) - 1/(x^3*arctanh(x)).at n=3A187870
- The generalized Conway-Guy sequence w^{-6}.at n=15A195684
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=27A213319
- Numerators of coefficients in expansion of x/arctan(x)-1 (even powers only).at n=4A216272
- Expansion of Product_{k>=0} (1-x^(5*k+4))^(5*k+4).at n=41A285214
- Expansion of Product_{k>=0} (1 + x^(5*k+4))^(5*k+4).at n=41A285340
- Number of permutations of [n] avoiding {4132, 4123, 1243}.at n=9A294772
- Given the associative array U(n,k) described below, numbers m > 5 such that [m-3..m+3] are not in U(n,k) (excluding the first row and column).at n=8A345473
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-5)*a(5) for n >= 6, with a(1)=0 and a(2)=a(3)=a(4)=a(5)=1.at n=25A361313
- Table read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives number of regions in the resulting planar graph.at n=33A366253