27,697,217

53 × 479 × 1091

27,697,217 factors as 53 × 479 × 1091. Its 8 positive divisors give a proper-divisor sum of 607,423, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 53 × 479 × 1091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 28,304,640

Proper Divisor Sum 607,423

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #27697177 ← → #27697223

Radix Representation

Decimal	27697217
Binary	1101001101010000001000001 (25 bits)
Octal	0o151520101
Hexadecimal	0x1A6A041

Divisor Catalog (8)

1 53 479 1,091 25,387 57,823 522,589 27,697,217

Collatz Trajectory (100 steps to reach 1)

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

27,697,217 83,091,652 41,545,826 20,772,913 62,318,740 31,159,370 15,579,685 46,739,056 23,369,528 11,684,764 5,842,382 2,921,191 8,763,574 4,381,787 13,145,362 6,572,681 19,718,044 9,859,022 4,929,511 14,788,534 7,394,267 22,182,802 11,091,401 33,274,204 16,637,102 8,318,551 24,955,654 12,477,827 37,433,482 18,716,741 56,150,224 28,075,112 14,037,556 7,018,778 3,509,389 10,528,168 5,264,084 2,632,042 1,316,021 3,948,064 1,974,032 987,016 493,508 246,754 123,377 370,132 185,066 92,533 277,600 138,800 69,400 34,700 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880

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