8285
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
- 4
- Divisor Sum
- 9948
- Proper Divisor Sum (Aliquot Sum)
- 1663
- 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
- 6624
- Möbius Function
- 1
- Radical
- 8285
- Omega Function (Ω)
- 2
- 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
- 127
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Multiplicity of highest weight (or singular) vectors associated with character chi_21 of Monster module.at n=39A034409
- Numerators of continued fraction convergents to sqrt(921).at n=5A042780
- Number of positive integers <= 2^n of form x^2 + 18 y^2.at n=16A054231
- Numbers k > 1 such that, in base 4, k and k^2 contain the same digits in the same proportion.at n=20A061658
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=35A068517
- Rounded volume of a regular octahedron with edge length n.at n=26A071400
- a(n) = 4*(n+1)*n + 5.at n=45A078370
- Integer part of the area of consecutive prime sided isosceles triangles.at n=32A097442
- a(n) = number of labeled graphs on n vertices (with no isolated vertices, multi-edges or loops) such that the degree of every vertex is at most 3.at n=6A110041
- Expansion of -x*(1+x-x^2+x^3+4*x^4) / ( (x^3-2*x^2-x+1)*(x^3+2*x^2-x-1) ).at n=15A120391
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, 1), (-1, 0), (0, 1), (1, -1), (1, 0)}.at n=7A151296
- 1/8 the number of n X n arrays of squares of integers with every 2X2 subblock summing to 17.at n=11A159217
- Number of 4 X 4 X 4 triangular nonnegative integer arrays, symmetric under 120 degree rotation, with all sums of an element and its neighbors <= n.at n=28A166212
- Numbers of the form (4k+3)^2+4 or (4k+5)^2-8.at n=44A214393
- a(1) = 1; a(n+1) is the smallest integer >=0 that cannot be obtained from the integers {a(1), ..., a(n)} using each number at most once and the operators +, -, *, / and accepting fractional intermediate results.at n=7A217043
- a(n) is the number of terms in the expansion of (x-y)(x^3-y^3)*(x^6-y^6)*(x^10-y^10)*...*(x^T_i-y^T_i), where T_i is the i-th triangular number.at n=35A222028
- Antiharmonic mean of the divisors of A228023(n) (the n-th primitive antiharmonic number).at n=43A228024
- Conjecturally, the largest k such that prime(n)^2 is the largest squared prime divisor of binomial(2k,k).at n=20A239623
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 9.at n=42A240018
- Numbers n where tau(n) and n-tau(n) are perfect squares, with tau(n) the number of divisors of n (A000005).at n=24A245197