9,688,049

7 × 73 × 18959

9,688,049 factors as 7 × 73 × 18959. Its 8 positive divisors give a proper-divisor sum of 1,536,271, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 7 × 73 × 18959

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,224,320

Proper Divisor Sum 1,536,271

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9688031 ← → #9688051

Radix Representation

Decimal	9688049
Binary	100100111101001111110001 (24 bits)
Octal	0o44751761
Hexadecimal	0x93D3F1

Divisor Catalog (8)

1 7 73 511 18,959 132,713 1,384,007 9,688,049

Collatz Trajectory (238 steps to reach 1)

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

9,688,049 29,064,148 14,532,074 7,266,037 21,798,112 10,899,056 5,449,528 2,724,764 1,362,382 681,191 2,043,574 1,021,787 3,065,362 1,532,681 4,598,044 2,299,022 1,149,511 3,448,534 1,724,267 5,172,802 2,586,401 7,759,204 3,879,602 1,939,801 5,819,404 2,909,702 1,454,851 4,364,554 2,182,277 6,546,832 3,273,416 1,636,708 818,354 409,177 1,227,532 613,766 306,883 920,650 460,325 1,380,976 690,488 345,244 172,622 86,311 258,934 129,467 388,402 194,201 582,604 291,302 145,651 436,954 218,477 655,432 327,716 163,858 81,929 245,788 122,894 61,447

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