8432
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
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 9424
- 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
- 3840
- Möbius Function
- 0
- Radical
- 1054
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 83
- 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
- Representation degeneracies for boson strings.at n=39A005290
- Number of golygons of length 8n.at n=3A006718
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=35A013935
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=25A045083
- Limit of number of compositions (ordered partitions) of m into distinct parts where largest part is exactly m-n, for m sufficiently large given n.at n=20A072576
- a(n) is the smallest number that is precisely n-tuply abundant.at n=37A081751
- Fourth diagonal (m=3) of triangle A084938; a(n) = A084938(n+3,n) = (n^3 + 9*n^2 + 26*n)/6.at n=34A092286
- Numbers which are the sum of three positive cubes and divisible by 31.at n=38A104054
- Sums of area and perimeter of primitive Pythagorean triples.at n=40A105521
- Admirable numbers n such that the subtracted divisor is > sqrt(n).at n=25A109321
- Admirable Harshad numbers.at n=37A111947
- Positive numbers of the form -x^4+6x^2 y^2-y^4 (where x,y are integers).at n=33A135790
- 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), (0, 1, 0), (1, -1, -1), (1, 1, 1)}.at n=7A150521
- Twice 11-gonal numbers: a(n) = n*(9*n-7).at n=31A152995
- Numbers d*p where d is a perfect number and p<d a prime not dividing d.at n=13A165772
- a(n) = 6*a(n-1) + 8*a(n-2) with a(1) = 8, a(2) = 18.at n=4A171371
- Number of distinct solutions of Sum_{i=1..3}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1.at n=11A180795
- Number of (n+2) X 7 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=13A190029
- 17 times triangular numbers.at n=31A195037
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2*w^2 < x^2 + y^2.at n=24A211800