8,229,287

11 × 421 × 1777

Starting at 8,229,287, the Collatz iteration reaches 1 after 80 steps. The first transition is 24687862; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 421 × 1777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,003,792

Proper Divisor Sum 774,505

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8229283 ← → #8229293

Radix Representation

Decimal	8229287
Binary	11111011001000110100111 (23 bits)
Octal	0o37310647
Hexadecimal	0x7D91A7

Divisor Catalog (8)

1 11 421 1,777 4,631 19,547 748,117 8,229,287

Collatz Trajectory (80 steps to reach 1)

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

8,229,287 24,687,862 12,343,931 37,031,794 18,515,897 55,547,692 27,773,846 13,886,923 41,660,770 20,830,385 62,491,156 31,245,578 15,622,789 46,868,368 23,434,184 11,717,092 5,858,546 2,929,273 8,787,820 4,393,910 2,196,955 6,590,866 3,295,433 9,886,300 4,943,150 2,471,575 7,414,726 3,707,363 11,122,090 5,561,045 16,683,136 8,341,568 4,170,784 2,085,392 1,042,696 521,348 260,674 130,337 391,012 195,506 97,753 293,260 146,630 73,315 219,946 109,973 329,920 164,960 82,480 41,240 20,620 10,310 5,155 15,466 7,733 23,200 11,600 5,800 2,900 1,450

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