9,718,588

2² × 11 × 220877

9,718,588 factors as 2^2 × 11 × 220877. Its 12 positive divisors give a proper-divisor sum of 8,835,164, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 220877

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,553,752

Proper Divisor Sum 8,835,164

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9718573 ← → #9718591

Radix Representation

Decimal	9718588
Binary	100101000100101100111100 (24 bits)
Octal	0o45045474
Hexadecimal	0x944B3C

Divisor Catalog (12)

1 2 4 11 22 44 220,877 441,754 883,508 2,429,647 4,859,294 9,718,588

Collatz Trajectory (238 steps to reach 1)

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

9,718,588 4,859,294 2,429,647 7,288,942 3,644,471 10,933,414 5,466,707 16,400,122 8,200,061 24,600,184 12,300,092 6,150,046 3,075,023 9,225,070 4,612,535 13,837,606 6,918,803 20,756,410 10,378,205 31,134,616 15,567,308 7,783,654 3,891,827 11,675,482 5,837,741 17,513,224 8,756,612 4,378,306 2,189,153 6,567,460 3,283,730 1,641,865 4,925,596 2,462,798 1,231,399 3,694,198 1,847,099 5,541,298 2,770,649 8,311,948 4,155,974 2,077,987 6,233,962 3,116,981 9,350,944 4,675,472 2,337,736 1,168,868 584,434 292,217 876,652 438,326 219,163 657,490 328,745 986,236 493,118 246,559 739,678 369,839

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