6,442,030

2 × 5 × 7² × 13147

Starting at 6,442,030, the Collatz iteration reaches 1 after 121 steps. The first transition is 3221015; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 13147

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,489,848

Proper Divisor Sum 7,047,818

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #6442021 ← → #6442039

Radix Representation

Decimal	6442030
Binary	11000100100110000101110 (23 bits)
Octal	0o30446056
Hexadecimal	0x624C2E

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 13,147 26,294 65,735 92,029 131,470 184,058 460,145 644,203 920,290 1,288,406 3,221,015 6,442,030

Collatz Trajectory (121 steps to reach 1)

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

6,442,030 3,221,015 9,663,046 4,831,523 14,494,570 7,247,285 21,741,856 10,870,928 5,435,464 2,717,732 1,358,866 679,433 2,038,300 1,019,150 509,575 1,528,726 764,363 2,293,090 1,146,545 3,439,636 1,719,818 859,909 2,579,728 1,289,864 644,932 322,466 161,233 483,700 241,850 120,925 362,776 181,388 90,694 45,347 136,042 68,021 204,064 102,032 51,016 25,508 12,754 6,377 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812

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