8468
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15540
- Proper Divisor Sum (Aliquot Sum)
- 7072
- 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
- 4032
- Möbius Function
- 0
- Radical
- 4234
- 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)/7).at n=40A011889
- Discriminants of totally real quartic fields.at n=39A023680
- a(n) = Sum_{k=0..2*n-1} T(n, k)*T(n, k+1), T given by A027960.at n=5A027985
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 46.at n=37A031544
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 46.at n=3A031724
- First subsequent, disjoint occurrence of n consecutive nonprimes.at n=30A060064
- Harmonic mean of digits is 6.at n=14A062184
- Greatest number m with A088444(m) = n.at n=28A088448
- a(n) is the starting position of the first run of n ones in A014963.at n=32A110968
- Number of convex permutominoes of size n.at n=6A126020
- The number of unigraphical partitions of 2m; that is, the number of partitions of 2m which are realizable as the degree sequence of one and only one graph (where loops are not allowed but multiple edges are allowed).at n=31A143981
- Expansion of Product_{k > 0} (1 + A005229(k)*x^k).at n=23A147880
- a(n) = 16*n^2 + 4.at n=22A158444
- Number of n X n binary arrays with rows and columns, considered as binary numbers, in nondecreasing order, and all but the outermost row or column zero.at n=45A162024
- Long legs of primitive Pythagorean triples (a,b,c) for which 2a+1, 2b+1 and 2c+1 are primes.at n=25A165237
- Number of distinct solutions of sum{i=1..5}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1.at n=5A180807
- T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1.at n=50A180813
- a(n) = Sum_{i+j=n, i,j >= 1} tau(i)*sigma(j), where tau() = A000005(), sigma() = A000203().at n=51A191831
- Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace.at n=29A211145
- Number of ways prime(n) can be expressed as the sum of distinct smaller noncomposites.at n=44A215966