7,929,630

2 × 3³ × 5 × 43 × 683

Starting at 7,929,630, the Collatz iteration reaches 1 after 217 steps. The first transition is 3964815; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 43 × 683

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 21,669,120

Proper Divisor Sum 13,739,490

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7929619 ← → #7929637

Radix Representation

Decimal	7929630
Binary	11110001111111100011110 (23 bits)
Octal	0o36177436
Hexadecimal	0x78FF1E

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 683 774 1,161 1,290 1,366 1,935 2,049 2,322 3,415 3,870 4,098 5,805 6,147 6,830 10,245 11,610 12,294 18,441 20,490 29,369 30,735 36,882 58,738 61,470 88,107 92,205 146,845 176,214 184,410 264,321 293,690 440,535 528,642 792,963 881,070 1,321,605

Collatz Trajectory (217 steps to reach 1)

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

7,929,630 3,964,815 11,894,446 5,947,223 17,841,670 8,920,835 26,762,506 13,381,253 40,143,760 20,071,880 10,035,940 5,017,970 2,508,985 7,526,956 3,763,478 1,881,739 5,645,218 2,822,609 8,467,828 4,233,914 2,116,957 6,350,872 3,175,436 1,587,718 793,859 2,381,578 1,190,789 3,572,368 1,786,184 893,092 446,546 223,273 669,820 334,910 167,455 502,366 251,183 753,550 376,775 1,130,326 565,163 1,695,490 847,745 2,543,236 1,271,618 635,809 1,907,428 953,714 476,857 1,430,572 715,286 357,643 1,072,930 536,465 1,609,396 804,698 402,349 1,207,048 603,524 301,762

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