849,475

5² × 11 × 3089

849,475 factors as 5^2 × 11 × 3089. Its 12 positive divisors give a proper-divisor sum of 300,005, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 3089

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,149,480

Proper Divisor Sum 300,005

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #849467 ← → #849481

Radix Representation

Decimal	849475
Binary	11001111011001000011 (20 bits)
Octal	0o3173103
Hexadecimal	0xCF643

Divisor Catalog (12)

1 5 11 25 55 275 3,089 15,445 33,979 77,225 169,895 849,475

Collatz Trajectory (82 steps to reach 1)

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

849,475 2,548,426 1,274,213 3,822,640 1,911,320 955,660 477,830 238,915 716,746 358,373 1,075,120 537,560 268,780 134,390 67,195 201,586 100,793 302,380 151,190 75,595 226,786 113,393 340,180 170,090 85,045 255,136 127,568 63,784 31,892 15,946 7,973 23,920 11,960 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

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