8,771,300

2² × 5² × 239 × 367

Starting at 8,771,300, the Collatz iteration reaches 1 after 150 steps. The first transition is 4385650; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 239 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 19,165,440

Proper Divisor Sum 10,394,140

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8771267 ← → #8771327

Radix Representation

Decimal	8771300
Binary	100001011101011011100100 (24 bits)
Octal	0o41353344
Hexadecimal	0x85D6E4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 239 367 478 734 956 1,195 1,468 1,835 2,390 3,670 4,780 5,975 7,340 9,175 11,950 18,350 23,900 36,700 87,713 175,426 350,852 438,565 877,130 1,754,260 2,192,825 4,385,650 8,771,300

Collatz Trajectory (150 steps to reach 1)

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

8,771,300 4,385,650 2,192,825 6,578,476 3,289,238 1,644,619 4,933,858 2,466,929 7,400,788 3,700,394 1,850,197 5,550,592 2,775,296 1,387,648 693,824 346,912 173,456 86,728 43,364 21,682 10,841 32,524 16,262 8,131 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667

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