27,704,029

23 × 293 × 4111

27,704,029 factors as 23 × 293 × 4111. Its 8 positive divisors give a proper-divisor sum of 1,310,243, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 23 × 293 × 4111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 29,014,272

Proper Divisor Sum 1,310,243

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27703979 ← → #27704081

Radix Representation

Decimal	27704029
Binary	1101001101011101011011101 (25 bits)
Octal	0o151535335
Hexadecimal	0x1A6BADD

Divisor Catalog (8)

1 23 293 4,111 6,739 94,553 1,204,523 27,704,029

Collatz Trajectory (237 steps to reach 1)

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

27,704,029 83,112,088 41,556,044 20,778,022 10,389,011 31,167,034 15,583,517 46,750,552 23,375,276 11,687,638 5,843,819 17,531,458 8,765,729 26,297,188 13,148,594 6,574,297 19,722,892 9,861,446 4,930,723 14,792,170 7,396,085 22,188,256 11,094,128 5,547,064 2,773,532 1,386,766 693,383 2,080,150 1,040,075 3,120,226 1,560,113 4,680,340 2,340,170 1,170,085 3,510,256 1,755,128 877,564 438,782 219,391 658,174 329,087 987,262 493,631 1,480,894 740,447 2,221,342 1,110,671 3,332,014 1,666,007 4,998,022 2,499,011 7,497,034 3,748,517 11,245,552 5,622,776 2,811,388 1,405,694 702,847 2,108,542 1,054,271

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