8,995,608

2³ × 3² × 103 × 1213

Starting at 8,995,608, the Collatz iteration reaches 1 after 181 steps. The first transition is 4497804; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 103 × 1213

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,619,920

Proper Divisor Sum 15,624,312

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8995603 ← → #8995619

Radix Representation

Decimal	8995608
Binary	100010010100001100011000 (24 bits)
Octal	0o42241430
Hexadecimal	0x894318

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1,213 1,236 1,854 2,426 2,472 3,639 3,708 4,852 7,278 7,416 9,704 10,917 14,556 21,834 29,112 43,668 87,336 124,939 249,878 374,817 499,756 749,634 999,512 1,124,451 1,499,268 2,248,902 2,998,536 4,497,804 8,995,608

Collatz Trajectory (181 steps to reach 1)

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

8,995,608 4,497,804 2,248,902 1,124,451 3,373,354 1,686,677 5,060,032 2,530,016 1,265,008 632,504 316,252 158,126 79,063 237,190 118,595 355,786 177,893 533,680 266,840 133,420 66,710 33,355 100,066 50,033 150,100 75,050 37,525 112,576 56,288 28,144 14,072 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265

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