8,785,000

2³ × 5⁴ × 7 × 251

8,785,000 factors as 2^3 × 5^4 × 7 × 251. Its 80 positive divisors give a proper-divisor sum of 14,832,440, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 5^4 × 7 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 23,617,440

Proper Divisor Sum 14,832,440

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8784983 ← → #8785001

Radix Representation

Decimal	8785000
Binary	100001100000110001101000 (24 bits)
Octal	0o41406150
Hexadecimal	0x860C68

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 251 280 350 500 502 625 700 875 1,000 1,004 1,250 1,255 1,400 1,750 1,757 2,008 2,500 2,510 3,500 3,514 4,375 5,000 5,020 6,275 7,000 7,028 8,750 8,785 10,040 12,550 14,056 17,500 17,570 25,100 31,375 35,000 35,140 43,925

Collatz Trajectory (181 steps to reach 1)

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

8,785,000 4,392,500 2,196,250 1,098,125 3,294,376 1,647,188 823,594 411,797 1,235,392 617,696 308,848 154,424 77,212 38,606 19,303 57,910 28,955 86,866 43,433 130,300 65,150 32,575 97,726 48,863 146,590 73,295 219,886 109,943 329,830 164,915 494,746 247,373 742,120 371,060 185,530 92,765 278,296 139,148 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549

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