27,705,159

3⁵ × 114013

27,705,159 factors as 3^5 × 114013. Its 12 positive divisors give a proper-divisor sum of 13,795,937, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3^5 × 114013

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 41,501,096

Proper Divisor Sum 13,795,937

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #27705157 ← → #27705169

Radix Representation

Decimal	27705159
Binary	1101001101011111101000111 (25 bits)
Octal	0o151537507
Hexadecimal	0x1A6BF47

Divisor Catalog (12)

1 3 9 27 81 243 114,013 342,039 1,026,117 3,078,351 9,235,053 27,705,159

Collatz Trajectory (180 steps to reach 1)

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

27,705,159 83,115,478 41,557,739 124,673,218 62,336,609 187,009,828 93,504,914 46,752,457 140,257,372 70,128,686 35,064,343 105,193,030 52,596,515 157,789,546 78,894,773 236,684,320 118,342,160 59,171,080 29,585,540 14,792,770 7,396,385 22,189,156 11,094,578 5,547,289 16,641,868 8,320,934 4,160,467 12,481,402 6,240,701 18,722,104 9,361,052 4,680,526 2,340,263 7,020,790 3,510,395 10,531,186 5,265,593 15,796,780 7,898,390 3,949,195 11,847,586 5,923,793 17,771,380 8,885,690 4,442,845 13,328,536 6,664,268 3,332,134 1,666,067 4,998,202 2,499,101 7,497,304 3,748,652 1,874,326 937,163 2,811,490 1,405,745 4,217,236 2,108,618 1,054,309

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