8192
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 16383
- Proper Divisor Sum (Aliquot Sum)
- 8191
- 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
- 4096
- Möbius Function
- 0
- Radical
- 2
- Omega Function (Ω)
- 13
- 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
- 13
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- achttausendeinshundertzweiundneunzig· ordinal: achttausendeinshundertzweiundneunzigste
- English
- eight thousand one hundred ninety-two· ordinal: 8192th
- Spanish
- ocho mil ciento noventa y dos· ordinal: 8192º
- French
- huit mille cent quatre-vingt-douze· ordinal: huit mille cent quatre-vingt-douzième
- Italian
- ottomilacentonovantadue· ordinal: 8192º
- Latin
- octo milia centum nonaginta duo· ordinal: 8192.
- Portuguese
- oito mil e cento e noventa e dois· ordinal: 8192º
Appears in sequences
- Generalized class numbers c_(n,1).at n=47A000233
- a(n) = a(n-1)*a(n-2) with a(0) = 1, a(1) = 2; also a(n) = 2^Fibonacci(n).at n=7A000301
- Numbers that are not the sum of 4 nonzero squares.at n=26A000534
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=49A000549
- Numbers that are the sum of 2 positive 4th powers.at n=41A003336
- Numbers that are the sum of 2 nonzero 6th powers.at n=9A003358
- Numbers of form 2^i*7^j, with i, j >= 0.at n=39A003591
- Numbers of the form 2^i*5^j with i, j >= 0.at n=46A003592
- Numbers of the form 2^i * 11^j.at n=33A003596
- Theta series of E_8 lattice with respect to deep hole.at n=7A004017
- a(n) = 2^(2n+1).at n=6A004171
- Theta series of {D_14}^{+} lattice.at n=7A004534
- Numerator of average distance traveled by n-dimensional fly.at n=13A004734
- Numbers that are the sum of 8 positive 10th powers.at n=8A004808
- Numbers that are the sum of 4 positive 11th powers.at n=4A004815
- Numbers that are the sum of at most 2 nonzero 6th powers.at n=14A004853
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=30A004854
- Numbers that are the sum of at most 4 positive 11th powers.at n=14A004910
- Numbers that are the sum of at most 5 positive 11th powers.at n=18A004911
- Numbers that are the sum of at most 6 positive 11th powers.at n=22A004912