848
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 1674
- Proper Divisor Sum (Aliquot Sum)
- 826
- 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
- 416
- Möbius Function
- 0
- Radical
- 106
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 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
- achthundertachtundvierzig· ordinal: achthundertachtundvierzigste
- English
- eight hundred forty-eight· ordinal: eight hundred forty-eighth
- Spanish
- ochocientos cuarenta y ocho· ordinal: 848º
- French
- huit cent quarante-huit· ordinal: huit cent quarante-huitième
- Italian
- ottocentoquarantotto· ordinal: 848º
- Latin
- octingenti quadraginta octo· ordinal: 848.
- Portuguese
- oitocentos e quarenta e oito· ordinal: 848º
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=14A001486
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=40A002642
- a(n) = 2^n - C(n,0) - C(n,1) - C(n,2) - C(n,3).at n=10A002663
- Expansion of e.g.f. exp(x * cosh(x)).at n=7A003727
- a(n) = n*(5*n^2 - 2)/3.at n=8A004466
- Number of self-converse oriented graphs with n nodes.at n=5A005639
- E.g.f. is the logarithmic derivative of e.g.f. for Pell numbers [1, 0, 1, 2, 5, ...].at n=7A006673
- Numbers k such that sigma(k+2) = sigma(k).at n=5A007373
- Expansion of (1+x^2)(1+x^4)/((1-x)^2*(1-x^2)*(1-x^3)).at n=19A007979
- Coordination sequence T3 for Zeolite Code AEI.at n=22A008003
- Coordination sequence T1 for Zeolite Code AFT.at n=22A008026
- Coordination sequence T1 for Zeolite Code CAS.at n=18A008063
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=21A008083
- Coordination sequence T8 for Zeolite Code MFS.at n=18A008180
- Coordination sequence T2 for Zeolite Code TON.at n=18A008242
- Molien series for 4-dimensional complex reflection group of order 7680 (in powers of x^4).at n=48A008669
- Expansion of (1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=38A008769
- a(n) = Sum_{k=0..6} binomial(n,k).at n=10A008859
- Triangle read by rows of partial sums of binomial coefficients: T(n,k) = Sum_{i=0..k} binomial(n,i) (0 <= k <= n); also dimensions of Reed-Muller codes.at n=61A008949
- Expansion of cos(sin(x))/cos(x), even terms only.at n=4A009043