187,773

3 × 62591

187,773 factors as 3 × 62591. Its 4 positive divisors give a proper-divisor sum of 62,595, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3 × 62591

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 250,368

Proper Divisor Sum 62,595

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #187763 ← → #187787

Radix Representation

Decimal	187773
Binary	101101110101111101 (18 bits)
Octal	0o556575
Hexadecimal	0x2DD7D

Divisor Catalog (4)

1 3 62,591 187,773

Collatz Trajectory (85 steps to reach 1)

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

187,773 563,320 281,660 140,830 70,415 211,246 105,623 316,870 158,435 475,306 237,653 712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202

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