8,143,047

3² × 11 × 83 × 991

Starting at 8,143,047, the Collatz iteration reaches 1 after 199 steps. The first transition is 24429142; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 83 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,999,168

Proper Divisor Sum 4,856,121

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8143043 ← → #8143097

Radix Representation

Decimal	8143047
Binary	11111000100000011000111 (23 bits)
Octal	0o37040307
Hexadecimal	0x7C40C7

Divisor Catalog (24)

1 3 9 11 33 83 99 249 747 913 991 2,739 2,973 8,217 8,919 10,901 32,703 82,253 98,109 246,759 740,277 904,783 2,714,349 8,143,047

Collatz Trajectory (199 steps to reach 1)

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

8,143,047 24,429,142 12,214,571 36,643,714 18,321,857 54,965,572 27,482,786 13,741,393 41,224,180 20,612,090 10,306,045 30,918,136 15,459,068 7,729,534 3,864,767 11,594,302 5,797,151 17,391,454 8,695,727 26,087,182 13,043,591 39,130,774 19,565,387 58,696,162 29,348,081 88,044,244 44,022,122 22,011,061 66,033,184 33,016,592 16,508,296 8,254,148 4,127,074 2,063,537 6,190,612 3,095,306 1,547,653 4,642,960 2,321,480 1,160,740 580,370 290,185 870,556 435,278 217,639 652,918 326,459 979,378 489,689 1,469,068 734,534 367,267 1,101,802 550,901 1,652,704 826,352 413,176 206,588 103,294 51,647

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