4096
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 13
- Divisor Sum
- 8191
- Proper Divisor Sum (Aliquot Sum)
- 4095
- 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
- 2048
- Möbius Function
- 0
- Radical
- 2
- Omega Function (Ω)
- 12
- 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
- yes
- Perfect Cube
- yes
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 12
- 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
- viertausendsechsundneunzig· ordinal: viertausendsechsundneunzigste
- English
- four thousand ninety-six· ordinal: 4096th
- Spanish
- cuatro mil noventa y seis· ordinal: 4096º
- French
- quatre mille quatre-vingt-seize· ordinal: quatre mille quatre-vingt-seizième
- Italian
- quattromilanovantasei· ordinal: 4096º
- Latin
- quattuor milia nonaginta sex· ordinal: 4096.
- Portuguese
- quatro mil e noventa e seis· ordinal: 4096º
Appears in sequences
- Powers of 4: a(n) = 4^n.at n=6A000302
- Number of permutations of an n-sequence discordant with three given permutations (see reference) in n-5 places.at n=3A000470
- Squares that are not the sum of 2 nonzero squares.at n=38A000548
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=45A000549
- The cubes: a(n) = n^3.at n=16A000578
- Fourth powers: a(n) = n^4.at n=8A000583
- a(n) = floor(2^n / n).at n=15A000799
- Jordan-Polya numbers: products of factorial numbers A000142.at n=45A001013
- Sixth powers: a(n) = n^6.at n=4A001014
- Powers of 8: a(n) = 8^n.at n=4A001018
- Powers of 16: a(n) = 16^n.at n=3A001025
- Number of rooted planar cubic maps with 2n vertices.at n=4A002005
- Matrices with 2 rows.at n=6A002136
- G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=16A002288
- Glaisher's chi_8(n).at n=7A002607
- a(n) = max_{k=0..n} k^(n-k).at n=10A003320
- Numbers that are the sum of 4 positive 5th powers.at n=44A003349
- Numbers that are the sum of 8 positive 9th powers.at n=8A003397
- Hadamard maximal determinant problem: largest determinant of (+1,-1)-matrix of order n.at n=7A003433
- Numbers of form 2^i*7^j, with i, j >= 0.at n=34A003591