8584
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17100
- Proper Divisor Sum (Aliquot Sum)
- 8516
- 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
- 2146
- Omega Function (Ω)
- 5
- 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
- 26
- 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 balls in pyramid with base either a regular hexagon or a hexagon with alternate sides differing by 1 (balls in hexagonal pyramid of height n taken from hexagonal close-packing).at n=32A019298
- 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 45.at n=34A031543
- Convolution of A000295(n+2) (n>=0) with itself.at n=7A034009
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=46A038391
- Numbers k such that 3*2^k - 5 is prime.at n=34A057912
- Smallest member of triple of consecutive numbers each of which is the sum of two different nonzero squares.at n=40A064715
- Lesser of three consecutive nonsquare integers each of which is the sum of two squares.at n=39A073412
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=31A092230
- Antidiagonal sums of triangle A097094, where self-convolution forms A097096 (row sums of triangle A097094).at n=22A097097
- Partial sums of A002522, starting at n=1.at n=28A145066
- a(n) = 1 + n + binomial(n+3,5).at n=15A154322
- Positions where A163890 obtains distinct new values.at n=19A163891
- Number of partitions of n that do not contain 1 as a part and whose parts are not the same divisor of n.at n=42A167928
- a(1)=1; for each n > 1, a(n) is the smallest number such that Sum_{i=1..n} 1/a(i)^2 < sqrt(2).at n=7A179332
- Number of 7 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=12A188558
- 1-sequence of reduction of (2n) by x^2 -> x+1.at n=12A192306
- a(n) = Sum_{k=1..n} 2^(n mod k).at n=25A198383
- Number of n X 1 0..3 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=38A201618
- Number of (w,x,y,z) with all terms in {1,...,n} and w^2>x*y*z.at n=15A212066
- Number of distinct values of the sum of i^2 over 8 realizations of i in 0..n.at n=33A225275