9,318,166

2 × 11 × 13 × 31 × 1051

Starting at 9,318,166, the Collatz iteration reaches 1 after 132 steps. The first transition is 4659083; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 31 × 1051

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,966,656

Proper Divisor Sum 7,648,490

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9318163 ← → #9318167

Radix Representation

Decimal	9318166
Binary	100011100010111100010110 (24 bits)
Octal	0o43427426
Hexadecimal	0x8E2F16

Divisor Catalog (32)

1 2 11 13 22 26 31 62 143 286 341 403 682 806 1,051 2,102 4,433 8,866 11,561 13,663 23,122 27,326 32,581 65,162 150,293 300,586 358,391 423,553 716,782 847,106 4,659,083 9,318,166

Collatz Trajectory (132 steps to reach 1)

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

9,318,166 4,659,083 13,977,250 6,988,625 20,965,876 10,482,938 5,241,469 15,724,408 7,862,204 3,931,102 1,965,551 5,896,654 2,948,327 8,844,982 4,422,491 13,267,474 6,633,737 19,901,212 9,950,606 4,975,303 14,925,910 7,462,955 22,388,866 11,194,433 33,583,300 16,791,650 8,395,825 25,187,476 12,593,738 6,296,869 18,890,608 9,445,304 4,722,652 2,361,326 1,180,663 3,541,990 1,770,995 5,312,986 2,656,493 7,969,480 3,984,740 1,992,370 996,185 2,988,556 1,494,278 747,139 2,241,418 1,120,709 3,362,128 1,681,064 840,532 420,266 210,133 630,400 315,200 157,600 78,800 39,400 19,700 9,850

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