4,491,387

3² × 79 × 6317

4,491,387 factors as 3^2 × 79 × 6317. Its 12 positive divisors give a proper-divisor sum of 2,079,333, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3^2 × 79 × 6317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,570,720

Proper Divisor Sum 2,079,333

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4491359 ← → #4491401

Radix Representation

Decimal	4491387
Binary	10001001000100001111011 (23 bits)
Octal	0o21104173
Hexadecimal	0x44887B

Divisor Catalog (12)

1 3 9 79 237 711 6,317 18,951 56,853 499,043 1,497,129 4,491,387

Collatz Trajectory (136 steps to reach 1)

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

4,491,387 13,474,162 6,737,081 20,211,244 10,105,622 5,052,811 15,158,434 7,579,217 22,737,652 11,368,826 5,684,413 17,053,240 8,526,620 4,263,310 2,131,655 6,394,966 3,197,483 9,592,450 4,796,225 14,388,676 7,194,338 3,597,169 10,791,508 5,395,754 2,697,877 8,093,632 4,046,816 2,023,408 1,011,704 505,852 252,926 126,463 379,390 189,695 569,086 284,543 853,630 426,815 1,280,446 640,223 1,920,670 960,335 2,881,006 1,440,503 4,321,510 2,160,755 6,482,266 3,241,133 9,723,400 4,861,700 2,430,850 1,215,425 3,646,276 1,823,138 911,569 2,734,708 1,367,354 683,677 2,051,032 1,025,516

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