852,267

3 × 13² × 41²

852,267 factors as 3 × 13^2 × 41^2. Its 18 positive divisors give a proper-divisor sum of 408,969, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 41^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,261,236

Proper Divisor Sum 408,969

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #852263 ← → #852287

Radix Representation

Decimal	852267
Binary	11010000000100101011 (20 bits)
Octal	0o3200453
Hexadecimal	0xD012B

Divisor Catalog (18)

1 3 13 39 41 123 169 507 533 1,599 1,681 5,043 6,929 20,787 21,853 65,559 284,089 852,267

Collatz Trajectory (219 steps to reach 1)

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

852,267 2,556,802 1,278,401 3,835,204 1,917,602 958,801 2,876,404 1,438,202 719,101 2,157,304 1,078,652 539,326 269,663 808,990 404,495 1,213,486 606,743 1,820,230 910,115 2,730,346 1,365,173 4,095,520 2,047,760 1,023,880 511,940 255,970 127,985 383,956 191,978 95,989 287,968 143,984 71,992 35,996 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440

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