810
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 2178
- Proper Divisor Sum (Aliquot Sum)
- 1368
- 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
- 216
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 6
- 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
- 28
- Smith 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- achthundertzehn· ordinal: achthundertzehnste
- English
- eight hundred ten· ordinal: eight hundred tenth
- Spanish
- ochocientos diez· ordinal: 810º
- French
- huit cent dix· ordinal: huit cent dixième
- Italian
- ottocentodieci· ordinal: 810º
- Latin
- octingenti decem· ordinal: 810.
- Portuguese
- oitocentos e dez· ordinal: 810º
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=24A000092
- Number of alkyls Y^{II} C_n H_{2n+2} with n carbon atoms.at n=9A000646
- Number of partitions of n into parts of 3 kinds.at n=8A000716
- Numbers beginning with letter 'e' in English.at n=23A000873
- Number of inequivalent Costas arrays of order n under dihedral group.at n=19A001441
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^10 in powers of x.at n=7A001488
- Number of compositions of n into a sum of odd primes.at n=32A002124
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=21A002134
- a(n) = a(n-1) + a(n-2) - a(n-3).at n=31A002798
- Number of rooted planar trees with n non-root nodes: circularly cycling the subtrees at the root gives equivalent trees.at n=8A003239
- High temperature series for spherical model internal energy on 3-dimensional simple cubic lattice.at n=4A003496
- Expansion of g.f.: (1+x)/(1-9*x).at n=3A003952
- a(n) = 10*3^n.at n=4A005052
- Number of factorization patterns of polynomials of degree n over F_3.at n=13A006168
- Numbers not of form p + 2^x + 2^y.at n=13A006286
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=25A006501
- Horizontally symmetric numbers.at n=52A007284
- A grasshopper sequence: closed under n -> 2n+2 and 6n+6.at n=49A007319
- Multiplicative encoding of the Eulerian number triangle.at n=3A007338
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=20A007372