8004
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 12156
- 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
- 2464
- Möbius Function
- 0
- Radical
- 4002
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- From a differential equation.at n=9A000998
- A Fielder sequence: a(n) = a(n-1) + a(n-2) - a(n-6), n >= 7.at n=20A001635
- Numbers k such that sigma(k) = sigma(k+4).at n=13A015863
- Number of lines through exactly 6 points of an n X n grid of points.at n=49A018813
- a(n) = n*(19*n + 1)/2.at n=29A022277
- Perimeters of more than one primitive Pythagorean triangle.at n=10A024408
- OR-convolution of squares A000290 with themselves.at n=22A033459
- Base-7 palindromes that start with 3.at n=32A043017
- Numbers whose base-6 representation has exactly 6 runs.at n=5A043614
- Numbers k such that k^18 == 1 (mod 19^3).at n=22A056089
- a(n) = Sum_{k=0..n} T(k)*T(n-k), where T is A000073; convolution of A000073 with itself.at n=16A073778
- Multiples of 6 in which there is no common digit in successive terms.at n=24A083494
- a(n) = (5*n+2)*(5*n+7).at n=17A085036
- Row sums of A111467.at n=5A111469
- Numbers k such that k + sigma(k) + phi(k) is a triangular number.at n=40A115906
- Row 6 of array in A105272.at n=62A120654
- Number of partitions into "bus routes" of an n X 1 grid.at n=5A131709
- Gessel sequence: the number of paths of length 2m in the plane, starting and ending at (0,1), with unit steps in the four directions (north, east, south, west) and staying in the region y > 0, x > -y.at n=5A135404
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 6 and 8.at n=34A136861
- Nonzero entries in the array on page 8 of the reference.at n=35A140878