9,152,808

2³ × 3 × 7² × 43 × 181

Starting at 9,152,808, the Collatz iteration reaches 1 after 80 steps. The first transition is 4576404; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 43 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,387,360

Proper Divisor Sum 18,234,552

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9152797 ← → #9152809

Radix Representation

Decimal	9152808
Binary	100010111010100100101000 (24 bits)
Octal	0o42724450
Hexadecimal	0x8BA928

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 181 196 258 294 301 344 362 392 516 543 588 602 724 903 1,032 1,086 1,176 1,204 1,267 1,448 1,806 2,107 2,172 2,408 2,534 3,612 3,801 4,214 4,344 5,068 6,321 7,224 7,602 7,783 8,428 8,869 10,136

Collatz Trajectory (80 steps to reach 1)

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

9,152,808 4,576,404 2,288,202 1,144,101 3,432,304 1,716,152 858,076 429,038 214,519 643,558 321,779 965,338 482,669 1,448,008 724,004 362,002 181,001 543,004 271,502 135,751 407,254 203,627 610,882 305,441 916,324 458,162 229,081 687,244 343,622 171,811 515,434 257,717 773,152 386,576 193,288 96,644 48,322 24,161 72,484 36,242 18,121 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613

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