442,173

3 × 147391

442,173 has digital root 3. The neighboring primes are 442171 and 442177; its proper-divisor sum differs from the starting integer by -294,778.

Prime Factor Structure

Factorization String 3 × 147391

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 589,568

Proper Divisor Sum 147,395

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #442171 ← → #442177

Radix Representation

Decimal	442173
Binary	1101011111100111101 (19 bits)
Octal	0o1537475
Hexadecimal	0x6BF3D

Divisor Catalog (4)

1 3 147,391 442,173

Collatz Trajectory (125 steps to reach 1)

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

442,173 1,326,520 663,260 331,630 165,815 497,446 248,723 746,170 373,085 1,119,256 559,628 279,814 139,907 419,722 209,861 629,584 314,792 157,396 78,698 39,349 118,048 59,024 29,512 14,756 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846

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