6584
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12360
- Proper Divisor Sum (Aliquot Sum)
- 5776
- 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
- 3288
- Möbius Function
- 0
- Radical
- 1646
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 137
- 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 boron trees with n nodes, i.e. n-node rooted trees with degree <= 3 at root and out-degree <= 2 elsewhere.at n=14A000671
- Powers of cube root of 11 rounded up.at n=11A018008
- a(n+1) = a(n) converted to base 10 from base 9 (written in base 10).at n=44A023392
- a(n) = T(2n-1,n-1), T given by A026747.at n=6A026751
- a(n) = T(n, floor(n/2)), T given by A026747.at n=13A026753
- a(n) = greatest number in row n of array T given by A026747.at n=13A027222
- Least term in period of continued fraction for sqrt(n) is 7.at n=13A031431
- Values of A038007 not ending in 6 or 8.at n=6A038009
- Number of self-avoiding closed walks from 0 of area n in strip Z X {-1,0,1}.at n=10A038578
- Sum of primes between successive pairs of twin primes.at n=51A078731
- Number of compositions (ordered partitions) of n into powers of 4.at n=29A087221
- G.f. satisfies A(x) = f(x)^2 + x*A(x)*f(x)^3, where f(x) = Sum_{k>=0} x^((4^k-1)/3).at n=9A087224
- n^4 + n-th prime.at n=8A089621
- Largest achievable determinant of a 3 X 3 matrix whose elements are 9 distinct integers chosen from the range -n...n.at n=9A097693
- Maximal troughs in decimal expansions of Pi: positions of troughs equal to 8.at n=10A105276
- Even numbers n such that n^2 is an arithmetic number.at n=27A107924
- Diagonal sums of a scaled Legendre triangle.at n=9A110126
- Number of pairings disjoint to a given pairing, and containing a given pair not in the given pairing.at n=6A165968
- Partial sums of A002503.at n=33A176358
- Number of partitions of n having no parts with multiplicity 9.at n=31A184644