682,722

2 × 3³ × 47 × 269

682,722 factors as 2 × 3^3 × 47 × 269. Its 32 positive divisors give a proper-divisor sum of 872,478, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 47 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,555,200

Proper Divisor Sum 872,478

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #682699 ← → #682723

Radix Representation

Decimal	682722
Binary	10100110101011100010 (20 bits)
Octal	0o2465342
Hexadecimal	0xA6AE2

Divisor Catalog (32)

1 2 3 6 9 18 27 47 54 94 141 269 282 423 538 807 846 1,269 1,614 2,421 2,538 4,842 7,263 12,643 14,526 25,286 37,929 75,858 113,787 227,574 341,361 682,722

Collatz Trajectory (154 steps to reach 1)

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

682,722 341,361 1,024,084 512,042 256,021 768,064 384,032 192,016 96,008 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121

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