6,431,730

2 × 3 × 5 × 214391

Starting at 6,431,730, the Collatz iteration reaches 1 after 240 steps. The first transition is 3215865; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 214391

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,436,224

Proper Divisor Sum 9,004,494

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6431723 ← → #6431749

Radix Representation

Decimal	6431730
Binary	11000100010001111110010 (23 bits)
Octal	0o30421762
Hexadecimal	0x6223F2

Divisor Catalog (16)

1 2 3 5 6 10 15 30 214,391 428,782 643,173 1,071,955 1,286,346 2,143,910 3,215,865 6,431,730

Collatz Trajectory (240 steps to reach 1)

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

6,431,730 3,215,865 9,647,596 4,823,798 2,411,899 7,235,698 3,617,849 10,853,548 5,426,774 2,713,387 8,140,162 4,070,081 12,210,244 6,105,122 3,052,561 9,157,684 4,578,842 2,289,421 6,868,264 3,434,132 1,717,066 858,533 2,575,600 1,287,800 643,900 321,950 160,975 482,926 241,463 724,390 362,195 1,086,586 543,293 1,629,880 814,940 407,470 203,735 611,206 305,603 916,810 458,405 1,375,216 687,608 343,804 171,902 85,951 257,854 128,927 386,782 193,391 580,174 290,087 870,262 435,131 1,305,394 652,697 1,958,092 979,046 489,523 1,468,570

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