8,807,862

2 × 3 × 7 × 43 × 4877

Starting at 8,807,862, the Collatz iteration reaches 1 after 173 steps. The first transition is 4403931; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 43 × 4877

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,604,672

Proper Divisor Sum 11,796,810

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8807861 ← → #8807863

Radix Representation

Decimal	8807862
Binary	100001100110010110110110 (24 bits)
Octal	0o41462666
Hexadecimal	0x8665B6

Divisor Catalog (32)

1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1,806 4,877 9,754 14,631 29,262 34,139 68,278 102,417 204,834 209,711 419,422 629,133 1,258,266 1,467,977 2,935,954 4,403,931 8,807,862

Collatz Trajectory (173 steps to reach 1)

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

8,807,862 4,403,931 13,211,794 6,605,897 19,817,692 9,908,846 4,954,423 14,863,270 7,431,635 22,294,906 11,147,453 33,442,360 16,721,180 8,360,590 4,180,295 12,540,886 6,270,443 18,811,330 9,405,665 28,216,996 14,108,498 7,054,249 21,162,748 10,581,374 5,290,687 15,872,062 7,936,031 23,808,094 11,904,047 35,712,142 17,856,071 53,568,214 26,784,107 80,352,322 40,176,161 120,528,484 60,264,242 30,132,121 90,396,364 45,198,182 22,599,091 67,797,274 33,898,637 101,695,912 50,847,956 25,423,978 12,711,989 38,135,968 19,067,984 9,533,992 4,766,996 2,383,498 1,191,749 3,575,248 1,787,624 893,812 446,906 223,453 670,360 335,180

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