4,448,844

2² × 3⁵ × 23 × 199

4,448,844 factors as 2^2 × 3^5 × 23 × 199. Its 72 positive divisors give a proper-divisor sum of 7,781,556, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 23 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,230,400

Proper Divisor Sum 7,781,556

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4448837 ← → #4448863

Radix Representation

Decimal	4448844
Binary	10000111110001001001100 (23 bits)
Octal	0o20761114
Hexadecimal	0x43E24C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 199 207 243 276 324 398 414 486 597 621 796 828 972 1,194 1,242 1,791 1,863 2,388 2,484 3,582 3,726 4,577 5,373 5,589 7,164 7,452 9,154 10,746 11,178 13,731 16,119 18,308 21,492 22,356 27,462 32,238 41,193 48,357 54,924 64,476 82,386

Collatz Trajectory (167 steps to reach 1)

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

4,448,844 2,224,422 1,112,211 3,336,634 1,668,317 5,004,952 2,502,476 1,251,238 625,619 1,876,858 938,429 2,815,288 1,407,644 703,822 351,911 1,055,734 527,867 1,583,602 791,801 2,375,404 1,187,702 593,851 1,781,554 890,777 2,672,332 1,336,166 668,083 2,004,250 1,002,125 3,006,376 1,503,188 751,594 375,797 1,127,392 563,696 281,848 140,924 70,462 35,231 105,694 52,847 158,542 79,271 237,814 118,907 356,722 178,361 535,084 267,542 133,771 401,314 200,657 601,972 300,986 150,493 451,480 225,740 112,870 56,435 169,306

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