8712
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 25935
- Proper Divisor Sum (Aliquot Sum)
- 17223
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Expansion of Product_{k>=1} (1 - x^k)^12.at n=31A000735
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-8).at n=21A023438
- Nontrivial reversal numbers (numbers which are integer multiples of their reversals), excluding palindromic numbers and multiples of 10.at n=0A031877
- Sort then Add, a(1) =9.at n=12A033896
- Sort then Add, a(1)=27.at n=10A033903
- Coordination sequence for lattice D*_66 (with edges defined by l_1 norm = 1).at n=2A035818
- Coordination sequence for diamond structure D^+_66. (Edges defined by l_1 norm = 1.)at n=2A035909
- Numbers whose base-4 representation contains exactly four 0's and three 2's.at n=7A045060
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x12^2 = n.at n=10A045853
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-4)/2.at n=26A048070
- a(n) = Product_{m=1..n} (binomial(n,m)+1).at n=5A055612
- Numbers k such that sigma(x) = k has exactly 7 solutions.at n=36A060663
- Numbers of the form (10*a + b)^2 + (10*b + a)^2 with a and b less than 10, in numerical order.at n=38A061191
- Nonpalindromic numbers k such that k is not divisible by 10 and k*R(k) is a square, where R(k) is the reversal of k (A004086).at n=14A062917
- Numbers k such that k*rev(k) is a square different from k^2, where rev=A004086, decimal reversal.at n=30A070760
- Non-palindromic numbers n, not divisible by 10, such that either n divides R(n) or R(n) divides n, where R(n) is the digit-reversal of n.at n=2A071685
- Non-palindromic numbers such that either x=q1.Rev[x] or Rev[x]=q2.x, where R[x]=A004086[x] and q1 or q2 are integers not divisible by 10.at n=13A071687
- Lesser of three consecutive nonsquare integers each of which is the sum of two squares.at n=40A073412
- Expansion of (1-x)/(1-3*x-3*x^2-3*x^3).at n=7A077836
- a(n) = floor(average of first n cubes).at n=31A078618