13,328,792

2³ × 313 × 5323

13,328,792 factors as 2^3 × 313 × 5323. Its 16 positive divisors give a proper-divisor sum of 11,747,248, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^3 × 313 × 5323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,076,040

Proper Divisor Sum 11,747,248

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13328761 ← → #13328797

Radix Representation

Decimal	13328792
Binary	110010110110000110011000 (24 bits)
Octal	0o62660630
Hexadecimal	0xCB6198

Divisor Catalog (16)

1 2 4 8 313 626 1,252 2,504 5,323 10,646 21,292 42,584 1,666,099 3,332,198 6,664,396 13,328,792

Collatz Trajectory (166 steps to reach 1)

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

13,328,792 6,664,396 3,332,198 1,666,099 4,998,298 2,499,149 7,497,448 3,748,724 1,874,362 937,181 2,811,544 1,405,772 702,886 351,443 1,054,330 527,165 1,581,496 790,748 395,374 197,687 593,062 296,531 889,594 444,797 1,334,392 667,196 333,598 166,799 500,398 250,199 750,598 375,299 1,125,898 562,949 1,688,848 844,424 422,212 211,106 105,553 316,660 158,330 79,165 237,496 118,748 59,374 29,687 89,062 44,531 133,594 66,797 200,392 100,196 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544

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