15,726,328

2³ × 431 × 4561

15,726,328 factors as 2^3 × 431 × 4561. Its 16 positive divisors give a proper-divisor sum of 13,835,432, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 431 × 4561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 29,561,760

Proper Divisor Sum 13,835,432

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #15726311 ← → #15726353

Radix Representation

Decimal	15726328
Binary	111011111111011011111000 (24 bits)
Octal	0o73773370
Hexadecimal	0xEFF6F8

Divisor Catalog (16)

1 2 4 8 431 862 1,724 3,448 4,561 9,122 18,244 36,488 1,965,791 3,931,582 7,863,164 15,726,328

Collatz Trajectory (174 steps to reach 1)

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

15,726,328 7,863,164 3,931,582 1,965,791 5,897,374 2,948,687 8,846,062 4,423,031 13,269,094 6,634,547 19,903,642 9,951,821 29,855,464 14,927,732 7,463,866 3,731,933 11,195,800 5,597,900 2,798,950 1,399,475 4,198,426 2,099,213 6,297,640 3,148,820 1,574,410 787,205 2,361,616 1,180,808 590,404 295,202 147,601 442,804 221,402 110,701 332,104 166,052 83,026 41,513 124,540 62,270 31,135 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748

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