8,636,728

2³ × 443 × 2437

8,636,728 factors as 2^3 × 443 × 2437. Its 16 positive divisors give a proper-divisor sum of 7,600,352, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 443 × 2437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,237,080

Proper Divisor Sum 7,600,352

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8636713 ← → #8636737

Radix Representation

Decimal	8636728
Binary	100000111100100100111000 (24 bits)
Octal	0o40744470
Hexadecimal	0x83C938

Divisor Catalog (16)

1 2 4 8 443 886 1,772 2,437 3,544 4,874 9,748 19,496 1,079,591 2,159,182 4,318,364 8,636,728

Collatz Trajectory (93 steps to reach 1)

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

8,636,728 4,318,364 2,159,182 1,079,591 3,238,774 1,619,387 4,858,162 2,429,081 7,287,244 3,643,622 1,821,811 5,465,434 2,732,717 8,198,152 4,099,076 2,049,538 1,024,769 3,074,308 1,537,154 768,577 2,305,732 1,152,866 576,433 1,729,300 864,650 432,325 1,296,976 648,488 324,244 162,122 81,061 243,184 121,592 60,796 30,398 15,199 45,598 22,799 68,398 34,199 102,598 51,299 153,898 76,949 230,848 115,424 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522

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