λ
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4,566,166

2 × 11 × 17 × 29 × 421
Deficient Even Composite

4,566,166 factors as 2 × 11 × 17 × 29 × 421. Its 32 positive divisors give a proper-divisor sum of 3,637,514, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 29 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,203,680
Proper Divisor Sum 3,637,514
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4566161 ← → #4566169

Radix Representation

Decimal 4566166
Binary 10001011010110010010110 (23 bits)
Octal 0o21326226
Hexadecimal 0x45AC96

Divisor Catalog (32)

1 2 11 17 22 29 34 58 187 319 374 421 493 638 842 986 4,631 5,423 7,157 9,262 10,846 12,209 14,314 24,418 78,727 134,299 157,454 207,553 268,598 415,106 2,283,083 4,566,166

Collatz Trajectory (105 steps to reach 1)

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

4,566,166 2,283,083 6,849,250 3,424,625 10,273,876 5,136,938 2,568,469 7,705,408 3,852,704 1,926,352 963,176 481,588 240,794 120,397 361,192 180,596 90,298 45,149 135,448 67,724 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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