5863
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7056
- Proper Divisor Sum (Aliquot Sum)
- 1193
- 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
- 4800
- Möbius Function
- -1
- Radical
- 5863
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 129
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- A subclass of 2n-node trivalent planar graphs without triangles.at n=7A006796
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=50A008610
- a(n) = n*(7*n - 1)/2.at n=41A022264
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers).at n=25A024598
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=24A025112
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=4A031783
- a(n) = binomial(n+4,4)*(4*n+5)/5.at n=9A034263
- G.f.: 1/((1-x)*(1-x^2))^3.at n=18A038163
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=39A043293
- Bessel function Y_0(n) is a monotonically decreasing positive sequence.at n=16A046961
- Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.at n=26A046963
- 1/2-Smith numbers.at n=37A050224
- Numbers n such that 229*2^n-1 is prime.at n=27A050866
- Numbers n such that the sum of prime(n) and pi(n) is divisible by n.at n=9A065139
- Expansion of (1 + x^2*C)*C^2, where C = (1 - sqrt(1-4*x))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071717
- Expansion of (1+x^3*C^3)*C^2, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071735
- Numbers k such that 10^999 + k is a (titanic) prime.at n=6A074282
- Expansion of 1/((1-x)*(1+x+2*x^2+x^3)).at n=37A077913
- Largest proper divisor of the n-th Carmichael number (A002997).at n=10A081703
- Starting positions of strings of three 7's in the decimal expansion of Pi.at n=9A083631