7,066,696

2³ × 7 × 13 × 17 × 571

Starting at 7,066,696, the Collatz iteration reaches 1 after 98 steps. The first transition is 3533348; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 17 × 571

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,297,280

Proper Divisor Sum 10,230,584

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7066643 ← → #7066699

Radix Representation

Decimal	7066696
Binary	11010111101010001001000 (23 bits)
Octal	0o32752110
Hexadecimal	0x6BD448

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 571 728 884 952 1,142 1,547 1,768 2,284 3,094 3,997 4,568 6,188 7,423 7,994 9,707 12,376 14,846 15,988 19,414 29,692 31,976 38,828 51,961 59,384 67,949 77,656 103,922 126,191 135,898 207,844 252,382 271,796 415,688 504,764 543,592 883,337

Collatz Trajectory (98 steps to reach 1)

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

7,066,696 3,533,348 1,766,674 883,337 2,650,012 1,325,006 662,503 1,987,510 993,755 2,981,266 1,490,633 4,471,900 2,235,950 1,117,975 3,353,926 1,676,963 5,030,890 2,515,445 7,546,336 3,773,168 1,886,584 943,292 471,646 235,823 707,470 353,735 1,061,206 530,603 1,591,810 795,905 2,387,716 1,193,858 596,929 1,790,788 895,394 447,697 1,343,092 671,546 335,773 1,007,320 503,660 251,830 125,915 377,746 188,873 566,620 283,310 141,655 424,966 212,483 637,450 318,725 956,176 478,088 239,044 119,522 59,761 179,284 89,642 44,821

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