675,609

3 × 11 × 59 × 347

675,609 factors as 3 × 11 × 59 × 347. Its 16 positive divisors give a proper-divisor sum of 326,631, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3 × 11 × 59 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,002,240

Proper Divisor Sum 326,631

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #675607 ← → #675611

Radix Representation

Decimal	675609
Binary	10100100111100011001 (20 bits)
Octal	0o2447431
Hexadecimal	0xA4F19

Divisor Catalog (16)

1 3 11 33 59 177 347 649 1,041 1,947 3,817 11,451 20,473 61,419 225,203 675,609

Collatz Trajectory (141 steps to reach 1)

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

675,609 2,026,828 1,013,414 506,707 1,520,122 760,061 2,280,184 1,140,092 570,046 285,023 855,070 427,535 1,282,606 641,303 1,923,910 961,955 2,885,866 1,442,933 4,328,800 2,164,400 1,082,200 541,100 270,550 135,275 405,826 202,913 608,740 304,370 152,185 456,556 228,278 114,139 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276

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