13,486,936

2³ × 743 × 2269

13,486,936 factors as 2^3 × 743 × 2269. Its 16 positive divisors give a proper-divisor sum of 11,846,264, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 743 × 2269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,333,200

Proper Divisor Sum 11,846,264

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #13486927 ← → #13486937

Radix Representation

Decimal	13486936
Binary	110011011100101101011000 (24 bits)
Octal	0o63345530
Hexadecimal	0xCDCB58

Divisor Catalog (16)

1 2 4 8 743 1,486 2,269 2,972 4,538 5,944 9,076 18,152 1,685,867 3,371,734 6,743,468 13,486,936

Collatz Trajectory (109 steps to reach 1)

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

13,486,936 6,743,468 3,371,734 1,685,867 5,057,602 2,528,801 7,586,404 3,793,202 1,896,601 5,689,804 2,844,902 1,422,451 4,267,354 2,133,677 6,401,032 3,200,516 1,600,258 800,129 2,400,388 1,200,194 600,097 1,800,292 900,146 450,073 1,350,220 675,110 337,555 1,012,666 506,333 1,519,000 759,500 379,750 189,875 569,626 284,813 854,440 427,220 213,610 106,805 320,416 160,208 80,104 40,052 20,026 10,013 30,040 15,020 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377

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