8,491,186

2 × 11 × 23 × 97 × 173

Starting at 8,491,186, the Collatz iteration reaches 1 after 124 steps. The first transition is 4245593; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 97 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,732,928

Proper Divisor Sum 6,241,742

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8491181 ← → #8491193

Radix Representation

Decimal	8491186
Binary	100000011001000010110010 (24 bits)
Octal	0o40310262
Hexadecimal	0x8190B2

Divisor Catalog (32)

1 2 11 22 23 46 97 173 194 253 346 506 1,067 1,903 2,134 2,231 3,806 3,979 4,462 7,958 16,781 24,541 33,562 43,769 49,082 87,538 184,591 369,182 385,963 771,926 4,245,593 8,491,186

Collatz Trajectory (124 steps to reach 1)

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

8,491,186 4,245,593 12,736,780 6,368,390 3,184,195 9,552,586 4,776,293 14,328,880 7,164,440 3,582,220 1,791,110 895,555 2,686,666 1,343,333 4,030,000 2,015,000 1,007,500 503,750 251,875 755,626 377,813 1,133,440 566,720 283,360 141,680 70,840 35,420 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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