7810
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15552
- Proper Divisor Sum (Aliquot Sum)
- 7742
- 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
- 2800
- Möbius Function
- 1
- Radical
- 7810
- 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
- 101
- 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
- Numerators of continued fraction convergents to fifth root of 2.at n=8A002362
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among pairs.at n=31A015699
- Expansion of 1/((1-5x)(1-7x)(1-8x)(1-9x)).at n=3A028180
- Triangle T(n,m) = Sum_{k=0..m} Catalan(n-k)*Catalan(k).at n=48A028364
- Concatenate rows of triangle in A028364 (removing duplicates).at n=40A028378
- Numbers k such that k^2 is a concatenation of two successive numbers.at n=4A030467
- Numbers whose base-3 representation has exactly 9 runs.at n=35A043589
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 9.at n=35A043806
- Numbers k such that number of runs in the base 3 representation of k is congruent to 9 mod 10.at n=35A043824
- Number of conjugacy classes of elements of order n in E_8(C).at n=25A045514
- Fourth column of triangle A028364.at n=6A067295
- Catalan triangle A028364 with row reversion.at n=51A067323
- a(n) is the least positive integer k such that g(k) = n*g(k-1), where g(k) = prime(k+1) - prime(k).at n=28A078563
- Greedy frac multiples of 1/Pi: a(1)=1, Sum_{n>0} frac(a(n)*x) = 1 at x=1/Pi, where "frac(y)" denotes the fractional part of y.at n=28A080142
- Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=5/4.at n=39A080198
- Fifth subdiagonal in array of n-gonal numbers A081422.at n=19A081436
- First monotonically increasing sequence such that erasing the first and last digit of each term and concatenating what is left results in the concatenation of all terms of the sequence.at n=35A106004
- Start with 1 and repeatedly reverse the digits and add 48 to get the next term.at n=38A118160
- Numbers n where |sinc(n)| decreases monotonically to 0 (where sinc(x)=sin(x)/x).at n=47A131975
- a(n) = ((n-th prime)^6-(n-th prime))/2.at n=2A138440