13,640,296

2³ × 601 × 2837

13,640,296 factors as 2^3 × 601 × 2837. Its 16 positive divisors give a proper-divisor sum of 11,986,844, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^3 × 601 × 2837

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,627,140

Proper Divisor Sum 11,986,844

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #13640287 ← → #13640299

Radix Representation

Decimal	13640296
Binary	110100000010001001101000 (24 bits)
Octal	0o64021150
Hexadecimal	0xD02268

Divisor Catalog (16)

1 2 4 8 601 1,202 2,404 2,837 4,808 5,674 11,348 22,696 1,705,037 3,410,074 6,820,148 13,640,296

Collatz Trajectory (179 steps to reach 1)

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

13,640,296 6,820,148 3,410,074 1,705,037 5,115,112 2,557,556 1,278,778 639,389 1,918,168 959,084 479,542 239,771 719,314 359,657 1,078,972 539,486 269,743 809,230 404,615 1,213,846 606,923 1,820,770 910,385 2,731,156 1,365,578 682,789 2,048,368 1,024,184 512,092 256,046 128,023 384,070 192,035 576,106 288,053 864,160 432,080 216,040 108,020 54,010 27,005 81,016 40,508 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422

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