17282
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 25926
- Proper Divisor Sum (Aliquot Sum)
- 8644
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8640
- Möbius Function
- 1
- Radical
- 17282
- 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
- 172
- 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
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=24A005903
- Number of paraffins.at n=41A005999
- a(n) = Sum_{k=0..2n} (k+1) * A027082(n, k).at n=7A027106
- Denominators of convergents to Pi by Farey fractions.at n=20A063673
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3.at n=20A074709
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3 (primitive values of n only).at n=18A074900
- Expansion of (1-x)/(1-x+2*x^2).at n=30A078020
- Expansion of (1 + x)/(1 + x + 2x^2).at n=30A110512
- G.f. satisfies: A(x) = 1 + x*A(x)^3/A(-x)^3.at n=7A143556
- Semiprimes that are the sum of 10 consecutive primes.at n=23A185347
- Monotonic ordering of nonnegative differences 3^i-7^j, for 40>= i>=0, j>=0.at n=25A192153
- Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 n X 2 array.at n=12A218078
- Records in A224796.at n=32A224719
- Indices of primes in A141523.at n=36A235862
- Number of length n 0..2 arrays with no pair in any consecutive three terms totalling exactly 2.at n=23A245989
- Denominators of r-Egyptian fraction expansion for 1/e, where r(k) = 1/(k+1).at n=3A270587
- Expansion of (4*x^3-7*x^2+4*x-1)/(x^6-4*x^5+4*x^4+x^3-7*x^2+5*x-1).at n=10A271180
- a(n) = 2*a(n-1) - a(n-2) + a([n/2]), where a(0) = 1, a(1) = 1, a(2) = 1.at n=32A298414
- Number of nX5 0..1 arrays with every element equal to 0, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=11A298664