6,207,630

2 × 3 × 5 × 11 × 13 × 1447

Starting at 6,207,630, the Collatz iteration reaches 1 after 134 steps. The first transition is 3103815; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 13 × 1447

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,515,008

Proper Divisor Sum 11,307,378

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6207629 ← → #6207671

Radix Representation

Decimal	6207630
Binary	10111101011100010001110 (23 bits)
Octal	0o27534216
Hexadecimal	0x5EB88E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1,430 1,447 2,145 2,894 4,290 4,341 7,235 8,682 14,470 15,917 18,811 21,705 31,834 37,622 43,410 47,751 56,433 79,585 94,055 95,502 112,866 159,170 188,110 206,921 238,755 282,165 413,842 477,510 564,330 620,763 1,034,605

Collatz Trajectory (134 steps to reach 1)

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

6,207,630 3,103,815 9,311,446 4,655,723 13,967,170 6,983,585 20,950,756 10,475,378 5,237,689 15,713,068 7,856,534 3,928,267 11,784,802 5,892,401 17,677,204 8,838,602 4,419,301 13,257,904 6,628,952 3,314,476 1,657,238 828,619 2,485,858 1,242,929 3,728,788 1,864,394 932,197 2,796,592 1,398,296 699,148 349,574 174,787 524,362 262,181 786,544 393,272 196,636 98,318 49,159 147,478 73,739 221,218 110,609 331,828 165,914 82,957 248,872 124,436 62,218 31,109 93,328 46,664 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563

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