6,306,830

2 × 5 × 17 × 23 × 1613

Starting at 6,306,830, the Collatz iteration reaches 1 after 240 steps. The first transition is 3153415; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 23 × 1613

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,550,464

Proper Divisor Sum 6,243,634

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6306829 ← → #6306863

Radix Representation

Decimal	6306830
Binary	11000000011110000001110 (23 bits)
Octal	0o30036016
Hexadecimal	0x603C0E

Divisor Catalog (32)

1 2 5 10 17 23 34 46 85 115 170 230 391 782 1,613 1,955 3,226 3,910 8,065 16,130 27,421 37,099 54,842 74,198 137,105 185,495 274,210 370,990 630,683 1,261,366 3,153,415 6,306,830

Collatz Trajectory (240 steps to reach 1)

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

6,306,830 3,153,415 9,460,246 4,730,123 14,190,370 7,095,185 21,285,556 10,642,778 5,321,389 15,964,168 7,982,084 3,991,042 1,995,521 5,986,564 2,993,282 1,496,641 4,489,924 2,244,962 1,122,481 3,367,444 1,683,722 841,861 2,525,584 1,262,792 631,396 315,698 157,849 473,548 236,774 118,387 355,162 177,581 532,744 266,372 133,186 66,593 199,780 99,890 49,945 149,836 74,918 37,459 112,378 56,189 168,568 84,284 42,142 21,071 63,214 31,607 94,822 47,411 142,234 71,117 213,352 106,676 53,338 26,669 80,008 40,004

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