185,607

3² × 41 × 503

185,607 factors as 3^2 × 41 × 503. Its 12 positive divisors give a proper-divisor sum of 89,577, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3^2 × 41 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 275,184

Proper Divisor Sum 89,577

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #185599 ← → #185621

Radix Representation

Decimal	185607
Binary	101101010100000111 (18 bits)
Octal	0o552407
Hexadecimal	0x2D507

Divisor Catalog (12)

1 3 9 41 123 369 503 1,509 4,527 20,623 61,869 185,607

Collatz Trajectory (178 steps to reach 1)

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

185,607 556,822 278,411 835,234 417,617 1,252,852 626,426 313,213 939,640 469,820 234,910 117,455 352,366 176,183 528,550 264,275 792,826 396,413 1,189,240 594,620 297,310 148,655 445,966 222,983 668,950 334,475 1,003,426 501,713 1,505,140 752,570 376,285 1,128,856 564,428 282,214 141,107 423,322 211,661 634,984 317,492 158,746 79,373 238,120 119,060 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178

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