13142
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19716
- Proper Divisor Sum (Aliquot Sum)
- 6574
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6570
- Möbius Function
- 1
- Radical
- 13142
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = [ 3rd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=17A025203
- Similar to A112683, but using the recurrence x(i) = x(i-1)^2 + x(i-n) mod 3.at n=8A112684
- Number of lines through at least 2 points of an 8 X n grid of points.at n=30A160848
- a(n) = n^4 + 984*n^3 + 902*n^2 + 394*n + 858.at n=2A163304
- Sum of digits of square is sum of square of digits.at n=38A165550
- Number of (w,x,y) with all terms in {0,...,n} and w != min(|w-x|, |x-y|).at n=23A213499
- a(n) is the number of ways to select 3 distinct points forming a triangle of unsigned area = n from a square of grid points with side length n, divided by 4.at n=16A320542
- a(n) is the number of boards in English Peg Solitaire, reached after n moves, for which no more moves are possible.at n=26A350998
- Number of different coefficient values in expansion of Product_{k=1..n} (1+x^(k^2)).at n=43A369786
- The number of lattice points in the 2D plane contained between the curve y=x^2/4 and the line y=n^2, inclusive, where n is a positive integer.at n=17A385730