8,782,560

2⁵ × 3³ × 5 × 19 × 107

8,782,560 factors as 2^5 × 3^3 × 5 × 19 × 107. Its 192 positive divisors give a proper-divisor sum of 23,876,640, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 19 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 32,659,200

Proper Divisor Sum 23,876,640

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8782559 ← → #8782589

Radix Representation

Decimal	8782560
Binary	100001100000001011100000 (24 bits)
Octal	0o41401340
Hexadecimal	0x8602E0

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 72 76 80 90 95 96 107 108 114 120 135 144 152 160 171 180 190 214 216 228 240 270 285 288 304 321 342 360 380 428 432 456 480

Collatz Trajectory (225 steps to reach 1)

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

8,782,560 4,391,280 2,195,640 1,097,820 548,910 274,455 823,366 411,683 1,235,050 617,525 1,852,576 926,288 463,144 231,572 115,786 57,893 173,680 86,840 43,420 21,710 10,855 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726

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