27,763,593

3 × 11 × 13 × 64717

27,763,593 factors as 3 × 11 × 13 × 64717. Its 16 positive divisors give a proper-divisor sum of 15,726,903, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 64717

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 43,490,496

Proper Divisor Sum 15,726,903

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #27763577 ← → #27763607

Radix Representation

Decimal	27763593
Binary	1101001111010001110001001 (25 bits)
Octal	0o151721611
Hexadecimal	0x1A7A389

Divisor Catalog (16)

1 3 11 13 33 39 143 429 64,717 194,151 711,887 841,321 2,135,661 2,523,963 9,254,531 27,763,593

Collatz Trajectory (237 steps to reach 1)

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

27,763,593 83,290,780 41,645,390 20,822,695 62,468,086 31,234,043 93,702,130 46,851,065 140,553,196 70,276,598 35,138,299 105,414,898 52,707,449 158,122,348 79,061,174 39,530,587 118,591,762 59,295,881 177,887,644 88,943,822 44,471,911 133,415,734 66,707,867 200,123,602 100,061,801 300,185,404 150,092,702 75,046,351 225,139,054 112,569,527 337,708,582 168,854,291 506,562,874 253,281,437 759,844,312 379,922,156 189,961,078 94,980,539 284,941,618 142,470,809 427,412,428 213,706,214 106,853,107 320,559,322 160,279,661 480,838,984 240,419,492 120,209,746 60,104,873 180,314,620 90,157,310 45,078,655 135,235,966 67,617,983 202,853,950 101,426,975 304,280,926 152,140,463 456,421,390 228,210,695

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