5871
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8320
- Proper Divisor Sum (Aliquot Sum)
- 2449
- 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
- 3672
- Möbius Function
- -1
- Radical
- 5871
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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
- Coordination sequence T1 for Zeolite Code FER.at n=47A008106
- a(n) = Sum_{k = 0..n} binomial(n,k)^3*binomial(n+k,k).at n=4A014178
- 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 50.at n=30A031548
- Number of split numbers (A036382) with binary order (A029837) n, i.e., those in interval [ 2^(n-1), 2^n ].at n=13A036385
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=43A036805
- A036918/2.at n=6A036919
- Numerators of continued fraction convergents to sqrt(446).at n=6A041848
- Numbers whose base-5 representation contains exactly three 1's and three 4's.at n=6A045262
- Sum of product of divisors of n and sum of divisors of n.at n=17A076720
- Starting positions of strings of three 8's in the decimal expansion of Pi.at n=3A083637
- Unicode codes for the lunation runes, used in certain medieval Scandinavian perpetual calendar staves as golden numbers 1-19.at n=17A098476
- Series expansion of Farey rational polynomial based on A112627.at n=6A113946
- In the "3x+1" problem, let 1 denote a halving step and 0 denote an x->3x+1 step. Then a(n) is obtained by writing the sequence of steps needed to reach 1 from 2n and reading it as a decimal number.at n=16A125711
- a(n) = tau(n) * (NumberOfPartitions(n) - 1).at n=25A141668
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, -1), (1, 0, 1), (1, 1, -1)}.at n=8A149142
- Jacobsthal sequence A001045 convolved with A139251 (first differences of toothpick numbers).at n=11A160704
- Multiples of 19 whose reversal + 1 is also a multiple of 19.at n=18A166392
- Number of Golomb rulers of length n.at n=29A169942
- a(0) = 0, a(n) = a(n - 1)*2^(n + 1) + 2^n - 1. That is, add one 0 and n 1's to the binary representation of previous term.at n=4A215203
- Expansion of Sum_{n>=0} x^n * Sum_{k=0..n} C(n,k)^2 * x^(5*k).at n=22A248193