8585
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11016
- Proper Divisor Sum (Aliquot Sum)
- 2431
- 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
- 6400
- Möbius Function
- -1
- Radical
- 8585
- Omega Function (Ω)
- 3
- 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
- 171
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=8A031947
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=8A049357
- a(n) = floor( n^e ), e = 2.718281828...at n=27A061293
- Numbers k such that sigma(k+1) - sigma(k) = k + 1.at n=2A067816
- Duplicate of A067816.at n=2A076629
- a(n) = n*(2*n^2 -3*n +7)/6 = C(n, 1) + C(n, 2) + 2*C(n, 3).at n=29A081489
- Group the natural numbers such that the n-th group sum is divisible by prime(n): (1, 2, 3), (4, 5), (6, 7, 8, 9), (10, 11), (12, 13, 14, 15, 16, 17, 18, 19, 20, 21), ... Sequence contains the sum of the terms in the n-th group.at n=25A086491
- 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, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0)}.at n=7A151046
- 5 times pentagonal numbers: 5*n*(3*n-1)/2.at n=34A152734
- Values of hypotenuse of primitive Pythagorean triples which can have four different shapes (that is, four different sets of "legs").at n=27A159781
- a(n) is the n-th J_6-prime (Josephus_6 prime).at n=17A163786
- Partial sums of round(n^2/5).at n=50A173690
- A symmetrical triangle T(n, m) = 2*Eulerian(n+1, m) -1, read by rows.at n=30A176200
- A symmetrical triangle T(n, m) = 2*Eulerian(n+1, m) -1, read by rows.at n=33A176200
- Demi-tribonacci numbers (rounding up): a(0)=a(1)=0, a(2)=2; a(n) = ceiling( (a(n-1)+a(n-2)+a(n-3))/2 ).at n=43A180235
- Numbers of the form ((6k+5)^2+9)/2 or 2(3k+4)^2-9.at n=42A214493
- Least k > 1 such that tri(n)+ ... + tri(n+k-1) is a triangular number.at n=54A214697
- Numbers n such that antisigma(n) = antisigma(k) has solution for distinct numbers n and k.at n=4A231364
- Odd integers concatenated with themselves.at n=42A249166
- a(1) = a(2) = a(3) = 1; for n > 3, a(n) = ceiling((a(n-1) + a(n-2) + a(n-3))/2).at n=42A258875