2048
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4095
- Proper Divisor Sum (Aliquot Sum)
- 2047
- 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
- 1024
- Möbius Function
- 0
- Radical
- 2
- Omega Function (Ω)
- 11
- 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
- 11
- 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
- zweitausendachtundvierzig· ordinal: zweitausendachtundvierzigste
- English
- two thousand forty-eight· ordinal: 2048th
- Spanish
- dos mil cuarenta y ocho· ordinal: 2048º
- French
- deux mille quarante-huit· ordinal: deux mille quarante-huitième
- Italian
- duemilaquarantotto· ordinal: 2048º
- Latin
- duo milia quadraginta octo· ordinal: 2048.
- Portuguese
- dois mil e quarenta e oito· ordinal: 2048º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=45A000009
- a(n) is the number of distinct (infinite) output sequences from binary n-stage shift register which feeds back the complement of the last stage.at n=16A000016
- Number of primitive polynomials of degree n over GF(2) (version 2).at n=15A000020
- Number of n-bead necklaces with beads of 2 colors and primitive period n, when turning over is not allowed but the two colors can be interchanged.at n=16A000048
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=23A000125
- Generalized class numbers c_(n,1).at n=27A000233
- Numbers that are not the sum of 4 nonzero squares.at n=23A000534
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=39A000549
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=25A000954
- Jordan-Polya numbers: products of factorial numbers A000142.at n=38A001013
- a(n) = 2*n^2.at n=32A001105
- Number of permutations of order n with the length of longest run equal to 5.at n=7A001253
- Numbers k such that phi(2k-1) < phi(2k), where phi is Euler's totient function A000010.at n=28A001836
- Successive numerators of Wallis's approximation to Pi/2 (reduced).at n=7A001901
- Prime numbers of measurement.at n=42A002049
- Discriminants of totally real quartic fields (see comments).at n=4A002769
- Smallest number that requires n iterations of the unitary totient function (A047994) to reach 1.at n=16A003271
- Numbers that are the sum of 2 positive 5th powers.at n=9A003347
- Numbers that are the sum of 8 nonzero 8th powers.at n=8A003386
- Numbers that are the sum of 4 positive 9th powers.at n=4A003393