5991
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
- 4
- Divisor Sum
- 7992
- Proper Divisor Sum (Aliquot Sum)
- 2001
- 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
- 3992
- Möbius Function
- 1
- Radical
- 5991
- Omega Function (Ω)
- 2
- 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
- 93
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of n X 3 binary matrices under row and column permutations and column complementations.at n=16A006381
- Eight iterations of Reverse and Add are needed to reach a palindrome.at n=18A015988
- 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 25.at n=27A031523
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=29A031897
- Multiplicity of highest weight (or singular) vectors associated with character chi_6 of Monster module.at n=43A034394
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 5).at n=43A035552
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5).at n=33A039866
- 3*n^2-2*n+6.at n=45A047915
- Sum of balls on the lawn for the s=3 tennis ball problem.at n=4A049235
- Number of ways of piling up n wine bottles above a row of n+1 bottles at ground level.at n=11A058300
- Numbers which need eight 'Reverse and Add' steps to reach a palindrome.at n=13A065213
- a(1) = 7; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=39A074343
- Least non-balanced x (i.e., not in A020492) such that sigma(2n-1,x)/phi(x) is an integer.at n=40A078539
- Least non-balanced x (i.e., not in A020492) such that sigma(p(n),x)/phi(x) is an integer, where p(n) = n-th prime.at n=22A078540
- Number of ways of placing non-attacking knights on an n X n chessboard symmetric under 90-degree rotation.at n=9A130728
- Numbers n such that sigma(n) = 2*(n-reversal(n)).at n=5A135242
- Numbers n such that 2*17^n + 1 is prime.at n=2A141797
- 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, -1), (-1, -1, 0), (-1, 1, -1), (0, 1, 1), (1, -1, -1)}.at n=10A148062
- 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, 1), (-1, 0, 0), (-1, 1, 0), (0, 1, 1), (1, 0, -1)}.at n=9A148442
- 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, 0), (0, 1, -1), (1, -1, 1), (1, 1, 1)}.at n=7A149722