9,688,523

13 × 29 × 31 × 829

9,688,523 factors as 13 × 29 × 31 × 829. Its 16 positive divisors give a proper-divisor sum of 1,466,677, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 13 × 29 × 31 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,155,200

Proper Divisor Sum 1,466,677

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9688517 ← → #9688531

Radix Representation

Decimal	9688523
Binary	100100111101010111001011 (24 bits)
Octal	0o44752713
Hexadecimal	0x93D5CB

Divisor Catalog (16)

1 13 29 31 377 403 829 899 10,777 11,687 24,041 25,699 312,533 334,087 745,271 9,688,523

Collatz Trajectory (238 steps to reach 1)

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

9,688,523 29,065,570 14,532,785 43,598,356 21,799,178 10,899,589 32,698,768 16,349,384 8,174,692 4,087,346 2,043,673 6,131,020 3,065,510 1,532,755 4,598,266 2,299,133 6,897,400 3,448,700 1,724,350 862,175 2,586,526 1,293,263 3,879,790 1,939,895 5,819,686 2,909,843 8,729,530 4,364,765 13,094,296 6,547,148 3,273,574 1,636,787 4,910,362 2,455,181 7,365,544 3,682,772 1,841,386 920,693 2,762,080 1,381,040 690,520 345,260 172,630 86,315 258,946 129,473 388,420 194,210 97,105 291,316 145,658 72,829 218,488 109,244 54,622 27,311 81,934 40,967 122,902 61,451

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