8,109,040

2⁴ × 5 × 101363

8,109,040 factors as 2^4 × 5 × 101363. Its 20 positive divisors give a proper-divisor sum of 10,744,664, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 101363

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 18,853,704

Proper Divisor Sum 10,744,664

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8109007 ← → #8109061

Radix Representation

Decimal	8109040
Binary	11110111011101111110000 (23 bits)
Octal	0o36735760
Hexadecimal	0x7BBBF0

Divisor Catalog (20)

Collatz Trajectory (85 steps to reach 1)

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

8,109,040 4,054,520 2,027,260 1,013,630 506,815 1,520,446 760,223 2,280,670 1,140,335 3,421,006 1,710,503 5,131,510 2,565,755 7,697,266 3,848,633 11,545,900 5,772,950 2,886,475 8,659,426 4,329,713 12,989,140 6,494,570 3,247,285 9,741,856 4,870,928 2,435,464 1,217,732 608,866 304,433 913,300 456,650 228,325 684,976 342,488 171,244 85,622 42,811 128,434 64,217 192,652 96,326 48,163 144,490 72,245 216,736 108,368 54,184 27,092 13,546 6,773 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860 1,430

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