8,944,800

2⁵ × 3 × 5² × 3727

8,944,800 factors as 2^5 × 3 × 5^2 × 3727. Its 72 positive divisors give a proper-divisor sum of 20,178,336, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 3727

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 29,123,136

Proper Divisor Sum 20,178,336

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8944777 ← → #8944853

Radix Representation

Decimal	8944800
Binary	100010000111110010100000 (24 bits)
Octal	0o42076240
Hexadecimal	0x887CA0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1,200 2,400 3,727 7,454 11,181 14,908 18,635 22,362 29,816 37,270 44,724 55,905 59,632 74,540 89,448 93,175 111,810 119,264 149,080 178,896 186,350 223,620 279,525 298,160 357,792 372,700

Collatz Trajectory (119 steps to reach 1)

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

8,944,800 4,472,400 2,236,200 1,118,100 559,050 279,525 838,576 419,288 209,644 104,822 52,411 157,234 78,617 235,852 117,926 58,963 176,890 88,445 265,336 132,668 66,334 33,167 99,502 49,751 149,254 74,627 223,882 111,941 335,824 167,912 83,956 41,978 20,989 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744

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