9,832,998

2 × 3 × 7 × 103 × 2273

Starting at 9,832,998, the Collatz iteration reaches 1 after 220 steps. The first transition is 4916499; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 103 × 2273

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,703,616

Proper Divisor Sum 12,870,618

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9832981 ← → #9833039

Radix Representation

Decimal	9832998
Binary	100101100000101000100110 (24 bits)
Octal	0o45405046
Hexadecimal	0x960A26

Divisor Catalog (32)

1 2 3 6 7 14 21 42 103 206 309 618 721 1,442 2,163 2,273 4,326 4,546 6,819 13,638 15,911 31,822 47,733 95,466 234,119 468,238 702,357 1,404,714 1,638,833 3,277,666 4,916,499 9,832,998

Collatz Trajectory (220 steps to reach 1)

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

9,832,998 4,916,499 14,749,498 7,374,749 22,124,248 11,062,124 5,531,062 2,765,531 8,296,594 4,148,297 12,444,892 6,222,446 3,111,223 9,333,670 4,666,835 14,000,506 7,000,253 21,000,760 10,500,380 5,250,190 2,625,095 7,875,286 3,937,643 11,812,930 5,906,465 17,719,396 8,859,698 4,429,849 13,289,548 6,644,774 3,322,387 9,967,162 4,983,581 14,950,744 7,475,372 3,737,686 1,868,843 5,606,530 2,803,265 8,409,796 4,204,898 2,102,449 6,307,348 3,153,674 1,576,837 4,730,512 2,365,256 1,182,628 591,314 295,657 886,972 443,486 221,743 665,230 332,615 997,846 498,923 1,496,770 748,385 2,245,156

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