27,992,776

2³ × 7 × 19 × 26309

27,992,776 factors as 2^3 × 7 × 19 × 26309. Its 32 positive divisors give a proper-divisor sum of 35,151,224, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 26309

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 63,144,000

Proper Divisor Sum 35,151,224

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #27992773 ← → #27992813

Radix Representation

Decimal	27992776
Binary	1101010110010001011001000 (25 bits)
Octal	0o152621310
Hexadecimal	0x1AB22C8

Divisor Catalog (32)

Collatz Trajectory (131 steps to reach 1)

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

27,992,776 13,996,388 6,998,194 3,499,097 10,497,292 5,248,646 2,624,323 7,872,970 3,936,485 11,809,456 5,904,728 2,952,364 1,476,182 738,091 2,214,274 1,107,137 3,321,412 1,660,706 830,353 2,491,060 1,245,530 622,765 1,868,296 934,148 467,074 233,537 700,612 350,306 175,153 525,460 262,730 131,365 394,096 197,048 98,524 49,262 24,631 73,894 36,947 110,842 55,421 166,264 83,132 41,566 20,783 62,350 31,175 93,526 46,763 140,290 70,145 210,436 105,218 52,609 157,828 78,914 39,457 118,372 59,186 29,593

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