6,278,190

2 × 3 × 5 × 59 × 3547

Starting at 6,278,190, the Collatz iteration reaches 1 after 139 steps. The first transition is 3139095; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 59 × 3547

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,327,360

Proper Divisor Sum 9,049,170

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6278179 ← → #6278231

Radix Representation

Decimal	6278190
Binary	10111111100110000101110 (23 bits)
Octal	0o27746056
Hexadecimal	0x5FCC2E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1,770 3,547 7,094 10,641 17,735 21,282 35,470 53,205 106,410 209,273 418,546 627,819 1,046,365 1,255,638 2,092,730 3,139,095 6,278,190

Collatz Trajectory (139 steps to reach 1)

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

6,278,190 3,139,095 9,417,286 4,708,643 14,125,930 7,062,965 21,188,896 10,594,448 5,297,224 2,648,612 1,324,306 662,153 1,986,460 993,230 496,615 1,489,846 744,923 2,234,770 1,117,385 3,352,156 1,676,078 838,039 2,514,118 1,257,059 3,771,178 1,885,589 5,656,768 2,828,384 1,414,192 707,096 353,548 176,774 88,387 265,162 132,581 397,744 198,872 99,436 49,718 24,859 74,578 37,289 111,868 55,934 27,967 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930

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