5284
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9254
- Proper Divisor Sum (Aliquot Sum)
- 3970
- 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
- 2640
- Möbius Function
- 0
- Radical
- 2642
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 103
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 90.at n=4A020429
- 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 36.at n=37A031534
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=30A031802
- Numbers n such that 173*2^n-1 is prime.at n=22A050838
- Triangle read by rows: number of nonisomorphic semigroups of order n with k idempotents.at n=15A058108
- Semigroups of order n with 1 idempotent.at n=5A058109
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=19A064180
- Let p(k) denote k-th prime; consider solutions (n,m) of the Diophantine system {p(p(n)+1)-p(p(n))=2, p(p(n))-6.p(p(m))=-1} (*); sequence gives values of m.at n=20A065511
- a(1) = 1; for n > 1, a(n) = smallest number greater than a(n-1) such that a(n-1)*a(n)+1 is a cube.at n=7A082536
- Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+2*x+3*x^2)^n.at n=42A084608
- Coefficients of 1/sqrt(1-4*x-8*x^2); also, a(n) is the central coefficient of (1+2*x+3*x^2)^n.at n=6A084609
- Initial values for the iteration of the function f(x) = A063919(x) such that the iteration ends in a 5-cycle, i.e., in A097024.at n=40A097035
- Square array of expansions of 1/sqrt(1-4x-4*k*x^2), read by antidiagonals.at n=38A110135
- Indices of monotonically increasing primes which centrally enclose the prime sequence in A133781.at n=37A133782
- Sum of staircase twin primes according to the rule: top * bottom + next top.at n=7A135286
- Number of strictly increasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero.at n=26A188182
- Number n for which phi(n) = phi(n'), where phi is the Euler totient function and n' the arithmetic derivative of n.at n=45A190402
- a(n) = 8*a(n-1) + 6*a(n-2), with a(0)=0, a(1)=1.at n=5A190560
- Sum of rows of the triangle in A080381.at n=14A202148
- a(n) = Sum_{i=0..n} digsum_7(i)^3, where digsum_7(i) = A053828(i).at n=31A231678