8180
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17220
- Proper Divisor Sum (Aliquot Sum)
- 9040
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3264
- Möbius Function
- 0
- Radical
- 4090
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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 n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=31A000511
- n is equal to the number of 1's in all numbers <= n written in base 8.at n=4A014885
- Number of lines through exactly 5 points of an n X n grid of points.at n=40A018812
- Values of A038007 not ending in 6 or 8.at n=10A038009
- a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres.at n=30A046127
- a(n) = n plus sum of previous three terms.at n=14A062544
- First of triples of consecutive happy numbers, i.e., the first of three consecutive integers each of which is a happy number (A007770).at n=6A072494
- Number of solutions to n^2 < x^2 + y^2 + z^2 < (n+1)^2; number of lattice points between spheres of radii n and n+1.at n=25A078184
- a(n) = 2^(n+1) - n.at n=11A095768
- Values of A102370 which are >= a new power of 2.at n=12A103529
- Number of partitions of n which represent first player winning Chomp positions with multiple winning moves.at n=35A112473
- Multiply-Add Recurrence Invariant (MARI) numbers.at n=31A121235
- Largest term in rows of triangle A126347, in which row sums equal Bell numbers (A000110).at n=10A126349
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+409)^2 = y^2.at n=6A129641
- Row sums of triangle A132044.at n=13A132045
- Binomial transform of [1,3,5,6,7,8,9,10,11,...] (i.e., positive integers except 2 and 4).at n=10A133546
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, -1, 1), (0, 1, 1), (1, 1, -1)}.at n=8A149010
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, 0, 0), (1, 0, 1), (1, 1, -1)}.at n=7A150514
- Similar to A072921 but starting with 4.at n=37A152233
- a(n) = 250*n - 70.at n=33A154361