853
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
- 2
- Divisor Sum
- 854
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 852
- Möbius Function
- -1
- Radical
- 853
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 15
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 147
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- achthundertdreiundfünfzig· ordinal: achthundertdreiundfünfzigste
- English
- eight hundred fifty-three· ordinal: eight hundred fifty-third
- Spanish
- ochocientos cincuenta y tres· ordinal: 853º
- French
- huit cent cinquante-trois· ordinal: huit cent cinquante-troisième
- Italian
- ottocentocinquantatre· ordinal: 853º
- Latin
- octingenti quinquaginta tres· ordinal: 853.
- Portuguese
- oitocentos e cinquenta e três· ordinal: 853º
Appears in sequences
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=37A000921
- Number of simple connected graphs on n unlabeled nodes.at n=7A001349
- Perrin sequence (or Perrin numbers, or Ondrej Such sequence): a(n) = a(n-2) + a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2.at n=24A001608
- a(n) = n*a(n-1) - a(n-2) + 1 + (-1)^n.at n=6A003470
- Divisible only by primes congruent to 6 mod 7.at n=27A004624
- Class 3+ primes (for definition see A005105).at n=50A005107
- Class 3- primes (for definition see A005109).at n=43A005111
- Primes of the form k^2 + k + 41.at n=28A005846
- Stopping times.at n=7A007177
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=24A007490
- Smallest prime > n^2.at n=28A007491
- Primes of the form 8k + 5.at n=39A007521
- Prime triples: p; p+2 or p+4; p+6 all prime.at n=26A007529
- Primes p such that 6*p + 1 is also prime.at n=55A007693
- Coordination sequence T2 for Zeolite Code ATS.at n=21A008039
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=22A008110
- Coordination sequence T1 for Zeolite Code GOO.at n=20A008111
- Coordination sequence T5 for Zeolite Code MFS.at n=18A008177
- Crystal ball sequence for D_6 lattice.at n=2A008358
- Primes p==1 (mod 6) such that 3 and -3 are both cubes (one implies other) modulo p.at n=21A014753