1610
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 1846
- 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
- 528
- Möbius Function
- 1
- Radical
- 1610
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 21
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=43A000009
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=45A001182
- Number of equivalence classes of binary sequences of period n.at n=19A002729
- a(n) = ceiling(1000*log(n)).at n=4A004242
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=5A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=5A004967
- Primitive pseudoperfect numbers.at n=27A006036
- Triangular numbers plus quarter squares: n*(n+1)/2 + floor(n^2/4) (i.e., A000217(n) + A002620(n)).at n=46A006578
- An upper bound on the biplanar crossing number of the complete graph on n nodes.at n=27A007333
- Number of lattice points inside circle of radius n is 4(a(n)+n)-3.at n=45A007882
- Coordination sequence T1 for Zeolite Code -CLO.at n=36A009850
- a(1)=1, a(n) = 11*a(n-1) + n.at n=3A014881
- Least term in period of continued fraction for sqrt(n) is 8.at n=9A031432
- Numerators of continued fraction convergents to sqrt(203).at n=2A041376
- Denominators of continued fraction convergents to sqrt(425).at n=10A041809
- Denominators of continued fraction convergents to sqrt(836).at n=9A042615
- a(n)=(s(n)+5)/8, where s(n)=n-th base 8 palindrome that starts with 3.at n=27A043067
- Numbers k such that 7 and 8 occur juxtaposed in the base-9 representation of k but not of k-1.at n=36A043215
- Numbers k such that 0 and 1 occur juxtaposed in the base-10 representation of k but not of k-1.at n=28A043216
- Numbers k such that 1 and 7 occur juxtaposed in the base-9 representation of k but not of k+1.at n=38A043973