835
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1008
- Proper Divisor Sum (Aliquot Sum)
- 173
- 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
- 664
- Möbius Function
- 1
- Radical
- 835
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- yes
- 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
- 134
- Smith 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
Names
- German
- achthundertfünfunddreißig· ordinal: achthundertfünfunddreißigste
- English
- eight hundred thirty-five· ordinal: eight hundred thirty-fifth
- Spanish
- ochocientos treinta y cinco· ordinal: 835º
- French
- huit cent trente-cinq· ordinal: huit cent trente-cinqième
- Italian
- ottocentotrentacinque· ordinal: 835º
- Latin
- octingenti triginta quinque· ordinal: 835.
- Portuguese
- oitocentos e trinta e cinco· ordinal: 835º
Appears in sequences
- Number of 4-dimensional partitions of n.at n=6A000334
- One-half the number of permutations of length n with exactly 2 rising or falling successions.at n=7A000349
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=32A000603
- Number of twin prime pairs < square of n-th prime.at n=53A000885
- Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle.at n=9A001006
- Bessel polynomial {y_n}'(1).at n=4A001514
- Generalized Stirling numbers, [n+9,9]_5.at n=2A001724
- Primes multiplied by 5.at n=38A001750
- Number of atoms in a decahedron with n shells.at n=10A004068
- Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,1,3).at n=2A005545
- Coordination sequence T3 for Zeolite Code SGT.at n=18A008231
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=7A010007
- Triangle read by rows: T(n,k) is one-half the number of permutations of length n with exactly n-k rising or falling successions, for n >= 1, 1 <= k <= n. T(1,1) = 1 by convention.at n=25A010028
- f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices.at n=17A011826
- a(n) = floor(n*(n-1)*(n-2)/21).at n=27A011903
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=36A014670
- Coordination sequence T2 for Zeolite Code CGF.at n=20A019452
- Numbers k such that the continued fraction for sqrt(k) has period 26.at n=11A020365
- A Motzkin triangle: a(n,k), n >= 2, 2 <= k <= n, = number of complete, strictly subdiagonal staircase functions.at n=54A020474
- a(n) = Sum_{k>=1} floor(tau^(n-k)) where tau is A001622.at n=12A020956