27,875,730

2 × 3 × 5 × 59 × 15749

27,875,730 factors as 2 × 3 × 5 × 59 × 15749. Its 32 positive divisors give a proper-divisor sum of 40,164,270, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 59 × 15749

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 68,040,000

Proper Divisor Sum 40,164,270

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #27875723 ← → #27875737

Radix Representation

Decimal	27875730
Binary	1101010010101100110010010 (25 bits)
Octal	0o152254622
Hexadecimal	0x1A95992

Divisor Catalog (32)

Collatz Trajectory (167 steps to reach 1)

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

27,875,730 13,937,865 41,813,596 20,906,798 10,453,399 31,360,198 15,680,099 47,040,298 23,520,149 70,560,448 35,280,224 17,640,112 8,820,056 4,410,028 2,205,014 1,102,507 3,307,522 1,653,761 4,961,284 2,480,642 1,240,321 3,720,964 1,860,482 930,241 2,790,724 1,395,362 697,681 2,093,044 1,046,522 523,261 1,569,784 784,892 392,446 196,223 588,670 294,335 883,006 441,503 1,324,510 662,255 1,986,766 993,383 2,980,150 1,490,075 4,470,226 2,235,113 6,705,340 3,352,670 1,676,335 5,029,006 2,514,503 7,543,510 3,771,755 11,315,266 5,657,633 16,972,900 8,486,450 4,243,225 12,729,676 6,364,838

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