5,807,574

2 × 3² × 17 × 18979

Starting at 5,807,574, the Collatz iteration reaches 1 after 95 steps. The first transition is 2903787; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 18979

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,323,960

Proper Divisor Sum 7,516,386

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5807561 ← → #5807579

Radix Representation

Decimal	5807574
Binary	10110001001110111010110 (23 bits)
Octal	0o26116726
Hexadecimal	0x589DD6

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 18,979 37,958 56,937 113,874 170,811 322,643 341,622 645,286 967,929 1,935,858 2,903,787 5,807,574

Collatz Trajectory (95 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,807,574 2,903,787 8,711,362 4,355,681 13,067,044 6,533,522 3,266,761 9,800,284 4,900,142 2,450,071 7,350,214 3,675,107 11,025,322 5,512,661 16,537,984 8,268,992 4,134,496 2,067,248 1,033,624 516,812 258,406 129,203 387,610 193,805 581,416 290,708 145,354 72,677 218,032 109,016 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154

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