682,522

2 × 331 × 1031

682,522 factors as 2 × 331 × 1031. Its 8 positive divisors give a proper-divisor sum of 345,350, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 331 × 1031

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,027,872

Proper Divisor Sum 345,350

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #682519 ← → #682531

Radix Representation

Decimal	682522
Binary	10100110101000011010 (20 bits)
Octal	0o2465032
Hexadecimal	0xA6A1A

Divisor Catalog (8)

1 2 331 662 1,031 2,062 341,261 682,522

Collatz Trajectory (198 steps to reach 1)

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

682,522 341,261 1,023,784 511,892 255,946 127,973 383,920 191,960 95,980 47,990 23,995 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333

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