6,305,240

2³ × 5 × 283 × 557

Starting at 6,305,240, the Collatz iteration reaches 1 after 90 steps. The first transition is 3152620; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 283 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,262,480

Proper Divisor Sum 7,957,240

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #6305239 ← → #6305263

Radix Representation

Decimal	6305240
Binary	11000000011010111011000 (23 bits)
Octal	0o30032730
Hexadecimal	0x6035D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 283 557 566 1,114 1,132 1,415 2,228 2,264 2,785 2,830 4,456 5,570 5,660 11,140 11,320 22,280 157,631 315,262 630,524 788,155 1,261,048 1,576,310 3,152,620 6,305,240

Collatz Trajectory (90 steps to reach 1)

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

6,305,240 3,152,620 1,576,310 788,155 2,364,466 1,182,233 3,546,700 1,773,350 886,675 2,660,026 1,330,013 3,990,040 1,995,020 997,510 498,755 1,496,266 748,133 2,244,400 1,122,200 561,100 280,550 140,275 420,826 210,413 631,240 315,620 157,810 78,905 236,716 118,358 59,179 177,538 88,769 266,308 133,154 66,577 199,732 99,866 49,933 149,800 74,900 37,450 18,725 56,176 28,088 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668

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