8404
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 7724
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3800
- Möbius Function
- 0
- Radical
- 4202
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=62A011909
- Population of "Triangle" cellular automaton at n-th generation.at n=41A018189
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = (F(2), F(3), F(4), ...).at n=13A024874
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes.at n=22A025129
- Numbers whose set of base-7 digits is {3,4}.at n=31A032831
- a(n) = (7^n+1)/2.at n=5A034494
- Maximal base 7 run length is 4.at n=36A037991
- Numbers whose base-7 representation contains exactly four 3's.at n=15A043408
- Numbers whose consecutive digits differ by 4.at n=49A048406
- The terms of A055258 (sums of two powers of 7) divided by 2.at n=15A073218
- First differences of A084449.at n=35A084465
- G.f. = (1 + 4 * g.f. for A096661)/(1 + 2 Sum_{m>=1} (-1)^m*q^(m^2)).at n=55A097042
- Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.at n=24A099834
- Number of mappings f:{1,2,3,...,n} -> {1,2,3,...,n} such that gcd(f(x),f(y)) = f(gcd(x,y)) for all x,y in {1,2,3,...,n}.at n=8A126025
- a(n) = 5*n^2 - 1.at n=40A134538
- Numbers of the form x^5 + 10*x^3*y^2 + 5*x*y^4 (where x,y are integers).at n=18A135794
- a(n) = C(3,n) DELTA C(0,n).at n=21A147724
- n times the n-th noncomposite.at n=43A164931
- Partial sums of A030279.at n=5A174654
- Number of valleys in all weighted lattice paths in B(n).at n=14A182902