8,808,480

2⁵ × 3³ × 5 × 2039

8,808,480 factors as 2^5 × 3^3 × 5 × 2039. Its 96 positive divisors give a proper-divisor sum of 22,036,320, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 2039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 30,844,800

Proper Divisor Sum 22,036,320

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8808467 ← → #8808491

Radix Representation

Decimal	8808480
Binary	100001100110100000100000 (24 bits)
Octal	0o41464040
Hexadecimal	0x866820

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1,080 1,440 2,039 2,160 4,078 4,320 6,117 8,156 10,195 12,234 16,312 18,351 20,390 24,468 30,585 32,624

Collatz Trajectory (75 steps to reach 1)

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

8,808,480 4,404,240 2,202,120 1,101,060 550,530 275,265 825,796 412,898 206,449 619,348 309,674 154,837 464,512 232,256 116,128 58,064 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44

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