13,813,328

2⁴ × 61 × 14153

13,813,328 factors as 2^4 × 61 × 14153. Its 20 positive divisors give a proper-divisor sum of 13,390,660, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^4 × 61 × 14153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 27,203,988

Proper Divisor Sum 13,390,660

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #13813313 ← → #13813357

Radix Representation

Decimal	13813328
Binary	110100101100011001010000 (24 bits)
Octal	0o64543120
Hexadecimal	0xD2C650

Divisor Catalog (20)

Collatz Trajectory (148 steps to reach 1)

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

13,813,328 6,906,664 3,453,332 1,726,666 863,333 2,590,000 1,295,000 647,500 323,750 161,875 485,626 242,813 728,440 364,220 182,110 91,055 273,166 136,583 409,750 204,875 614,626 307,313 921,940 460,970 230,485 691,456 345,728 172,864 86,432 43,216 21,608 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412

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