5847
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
- 7800
- Proper Divisor Sum (Aliquot Sum)
- 1953
- 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
- 3896
- Möbius Function
- 1
- Radical
- 5847
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 142
- 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
- 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=25A031523
- Let f(x) = phi(x) + sigma(x); a(n) = least k such that at k begins a maximal run of length n of consecutive strict local extrema of f, or 0 if no such k exists.at n=6A066923
- Number of ways to partition 2*n into distinct positive integers not greater than n.at n=28A079122
- Number of ways to partition the sum of all divisors of n (sigma(n), A000203) into distinct positive integers not greater than n.at n=27A079125
- a(n) = 4*n^2 + 10*n + 1.at n=37A082112
- Row sums of triangle A096591, which shifts one place diagonally left and upward under the matrix square operation.at n=12A096592
- Numbers that are not the sum of two triangular numbers and a fourth power.at n=34A115160
- Semiprimes s such that s-/+4 are primes.at n=34A125216
- a(n) = least k such that the remainder when 26^k is divided by k is n.at n=34A128366
- Maximal number of right triangles in n turns of Pythagoras's snail.at n=23A137515
- Number of walks within N^2 (the first quadrant of Z^2) starting and ending at (0,0) and consisting of n steps taken from {(-1, 0), (-1, 1), (0, 1), (1, -1)}.at n=14A151335
- Number of partitions of n for which (number of occurrences of the least part) < (number of occurrences of greatest part).at n=48A236545
- Number of partitions of n with difference 2 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=36A242693
- The total number of pentagons in a variant of pentagon expansion (side-to-side, two consecutive sides and one isolated side) after n iterations.at n=48A253687
- Number of partitions of n into distinct parts less than or equal to n/2.at n=56A258259
- Consider the 2^n values of A147562(i)/i^2 for 2^n <= i < 2^(n+1); a(n) = value of i where this quantity is minimized.at n=12A260239
- In the ternary Pi race between digits zero and two, where the race leader changes.at n=25A278975
- Number of unlabeled connected loopless multigraphs with n nodes of degree less than n.at n=6A289987
- Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.at n=10A297984
- Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=10A302422