444,447

3⁵ × 31 × 59

444,447 factors as 3^5 × 31 × 59. Its 24 positive divisors give a proper-divisor sum of 254,433, so this integer is deficient. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 3^5 × 31 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 698,880

Proper Divisor Sum 254,433

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #444443 ← → #444449

Radix Representation

Decimal	444447
Binary	1101100100000011111 (19 bits)
Octal	0o1544037
Hexadecimal	0x6C81F

Divisor Catalog (24)

1 3 9 27 31 59 81 93 177 243 279 531 837 1,593 1,829 2,511 4,779 5,487 7,533 14,337 16,461 49,383 148,149 444,447

Collatz Trajectory (262 steps to reach 1)

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

444,447 1,333,342 666,671 2,000,014 1,000,007 3,000,022 1,500,011 4,500,034 2,250,017 6,750,052 3,375,026 1,687,513 5,062,540 2,531,270 1,265,635 3,796,906 1,898,453 5,695,360 2,847,680 1,423,840 711,920 355,960 177,980 88,990 44,495 133,486 66,743 200,230 100,115 300,346 150,173 450,520 225,260 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486

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