852
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2016
- Proper Divisor Sum (Aliquot Sum)
- 1164
- 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
- 280
- Möbius Function
- 0
- Radical
- 426
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- yes
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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- achthundertzweiundfünfzig· ordinal: achthundertzweiundfünfzigste
- English
- eight hundred fifty-two· ordinal: eight hundred fifty-second
- Spanish
- ochocientos cincuenta y dos· ordinal: 852º
- French
- huit cent cinquante-deux· ordinal: huit cent cinquante-deuxième
- Italian
- ottocentocinquantadue· ordinal: 852º
- Latin
- octingenti quinquaginta duo· ordinal: 852.
- Portuguese
- oitocentos e cinquenta e dois· ordinal: 852º
Appears in sequences
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=24A000326
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=52A001033
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=47A001318
- Number of unlabeled connected loop-less graphs on n nodes containing exactly one cycle (of length at least 2) and with all nodes of degree <= 4.at n=9A002094
- 5!(2n-6)!/n!(n-1)! is an integer.at n=8A004785
- Sequence of coefficients arising in connection with a rapidly converging series for Pi.at n=2A005149
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=36A006582
- Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity).at n=41A006753
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=49A007621
- Coordination sequence for hexagonal close-packing.at n=9A007899
- Number of non-Abelian metacyclic groups of order p^n (p odd).at n=35A007983
- Coordination sequence T1 for Zeolite Code AET.at n=20A008007
- Coordination sequence T2 for Zeolite Code MFS.at n=18A008174
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=18A008264
- Expansion of (1+x)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=35A008762
- Expansion of (1 + 2*x^2 + x^3)/((1 - x)^2*(1 - x^3)).at n=35A008822
- Coordination sequence T3 for Zeolite Code -WEN.at n=21A009864
- Coordination sequence for alpha-Nd, Position Nd1.at n=9A009948
- List of totally balanced sequences of 2n binary digits written in base 10. Binary expansion of each term contains n 0's and n 1's and reading from left to right (the most significant to the least significant bit), the number of 0's never exceeds the number of 1's.at n=45A014486
- Even pentagonal numbers.at n=12A014633