443,370

2 × 3 × 5 × 14779

443,370 factors as 2 × 3 × 5 × 14779. Its 16 positive divisors give a proper-divisor sum of 620,790, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 14779

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,064,160

Proper Divisor Sum 620,790

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #443369 ← → #443389

Radix Representation

Decimal	443370
Binary	1101100001111101010 (19 bits)
Octal	0o1541752
Hexadecimal	0x6C3EA

Divisor Catalog (16)

1 2 3 5 6 10 15 30 14,779 29,558 44,337 73,895 88,674 147,790 221,685 443,370

Collatz Trajectory (94 steps to reach 1)

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

443,370 221,685 665,056 332,528 166,264 83,132 41,566 20,783 62,350 31,175 93,526 46,763 140,290 70,145 210,436 105,218 52,609 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970 12,485 37,456 18,728 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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