5784
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14520
- Proper Divisor Sum (Aliquot Sum)
- 8736
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- 0
- Radical
- 1446
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 49
- Smith Number
- no
- Vampire 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
Appears in sequences
- Absolute value of coefficients of an elliptic function.at n=7A001940
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=22A024600
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 19.at n=31A031517
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 19.at n=3A031697
- Multiplicity of highest weight (or singular) vectors associated with character chi_89 of Monster module.at n=44A034477
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=18A052049
- a(n) = 10*n^2+n.at n=23A055437
- Numbers which are the sum of their proper divisors containing the digit 9.at n=13A059468
- Multiples of 24 whose digits also sum to 24.at n=14A066270
- Numbers k such that sigma(reverse(k)) = sigma(reverse(k-1)) + sigma(reverse(k-2)).at n=11A069970
- Expansion of (1-x)^(-1)/(1+2*x^2+x^3).at n=23A077894
- Sum_{k=1..n} (k(k+1))^2/2.at n=7A086755
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=36A089551
- Row sums of triangle A091604.at n=18A091610
- Numbers k such that the k-th cyclotomic polynomial evaluated at 2 (=A019320(k)) is not coprime to k.at n=44A093106
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having k returns (i.e., down steps hitting the x-axis).at n=44A097612
- Numbers n such that 9*10^n + 2*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=12A103093
- Number of Gaussian integers z with abs(z) < n and gcd(n,z)=1.at n=42A103225
- McKay-Thompson series of class 24b for the Monster group.at n=23A112162
- Terms of A068563 that are not terms of A124240.at n=25A124241