2,728,665

3² × 5 × 60637

2,728,665 factors as 3^2 × 5 × 60637. Its 12 positive divisors give a proper-divisor sum of 2,001,099, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 60637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,729,764

Proper Divisor Sum 2,001,099

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2728657 ← → #2728669

Radix Representation

Decimal	2728665
Binary	1010011010001011011001 (22 bits)
Octal	0o12321331
Hexadecimal	0x29A2D9

Divisor Catalog (12)

1 3 5 9 15 45 60,637 181,911 303,185 545,733 909,555 2,728,665

Collatz Trajectory (200 steps to reach 1)

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

2,728,665 8,185,996 4,092,998 2,046,499 6,139,498 3,069,749 9,209,248 4,604,624 2,302,312 1,151,156 575,578 287,789 863,368 431,684 215,842 107,921 323,764 161,882 80,941 242,824 121,412 60,706 30,353 91,060 45,530 22,765 68,296 34,148 17,074 8,537 25,612 12,806 6,403 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332

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