16384
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 15
- Divisor Sum
- 32767
- Proper Divisor Sum (Aliquot Sum)
- 16383
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8192
- Möbius Function
- 0
- Radical
- 2
- Omega Function (Ω)
- 14
- 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
- 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
- 14
- 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
- sechzehntausenddreihundertvierundachtzig· ordinal: sechzehntausenddreihundertvierundachtzigste
- English
- sixteen thousand three hundred eighty-four· ordinal: 16384th
- Spanish
- dieciséis mil trescientos ochenta y cuatro· ordinal: 16384º
- French
- seize mille trois cent quatre-vingt-quatre· ordinal: seize mille trois cent quatre-vingt-quatrième
- Italian
- sedicimilatrecentoottantaquattro· ordinal: 16384º
- Latin
- sedecim milia trecenti octoginta quattuor· ordinal: 16384.
- Portuguese
- dezesseis mil e trezentos e oitenta e quatro· ordinal: 16384º
Appears in sequences
- Generalized tangent numbers d_(n,2).at n=15A000176
- Powers of 4: a(n) = 4^n.at n=7A000302
- Generalized tangent numbers d(4,n).at n=2A000318
- Generalized tangent numbers d_(n,3).at n=3A000488
- a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3), n > 3, with a(0)=a(1)=a(2)=0, a(3)=1.at n=16A000749
- Seventh powers: a(n) = n^7.at n=4A001015
- Successive numerators of Wallis's approximation to Pi/2 (reduced).at n=8A001901
- a(n) = max_{k=0..n} k^(n-k).at n=11A003320
- Numbers that are the sum of 4 positive 6th powers.at n=39A003360
- Numbers of form 2^i*7^j, with i, j >= 0.at n=44A003591
- Numbers of the form 2^i * 11^j.at n=38A003596
- Square array read by upwards antidiagonals: T(n,k) = n^k for n >= 0, k >= 0.at n=73A003992
- Array read by ascending antidiagonals: A(n, k) = k^n.at n=70A004248
- Denominator of average distance traveled by n-dimensional fly.at n=14A004735
- Numbers that are the sum of 8 positive 11th powers.at n=8A004819
- Numbers that are the sum of at most 2 positive 7th powers.at n=10A004864
- Numbers that are the sum of at most 3 positive 7th powers.at n=20A004865
- Numbers that are the sum of at most 4 positive 7th powers.at n=35A004866
- Numbers that are the sum of at most 8 positive 11th powers.at n=44A004914
- Theta series of laminated lattice LAMBDA_9.at n=9A005933