8,688,729

3 × 7² × 59107

For 8,688,729, the 12 positive divisors have a total of 13,476,624. Removing 8,688,729 leaves 4,787,895, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7^2 × 59107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,476,624

Proper Divisor Sum 4,787,895

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #8688707 ← → #8688739

Radix Representation

Decimal	8688729
Binary	100001001001010001011001 (24 bits)
Octal	0o41112131
Hexadecimal	0x849459

Divisor Catalog (12)

1 3 7 21 49 147 59,107 177,321 413,749 1,241,247 2,896,243 8,688,729

Collatz Trajectory (93 steps to reach 1)

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

8,688,729 26,066,188 13,033,094 6,516,547 19,549,642 9,774,821 29,324,464 14,662,232 7,331,116 3,665,558 1,832,779 5,498,338 2,749,169 8,247,508 4,123,754 2,061,877 6,185,632 3,092,816 1,546,408 773,204 386,602 193,301 579,904 289,952 144,976 72,488 36,244 18,122 9,061 27,184 13,592 6,796 3,398 1,699 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232

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