λ
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Atlas › Integer Profiles › Node 8,091,285

8,091,285

3 × 5 × 23 × 47 × 499
Deficient Odd Composite

8,091,285 factors as 3 × 5 × 23 × 47 × 499. Its 32 positive divisors give a proper-divisor sum of 5,732,715, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 47 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,824,000
Proper Divisor Sum 5,732,715
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8091277 ← → #8091289

Radix Representation

Decimal 8091285
Binary 11110110111011010010101 (23 bits)
Octal 0o36673225
Hexadecimal 0x7B7695

Divisor Catalog (32)

1 3 5 15 23 47 69 115 141 235 345 499 705 1,081 1,497 2,495 3,243 5,405 7,485 11,477 16,215 23,453 34,431 57,385 70,359 117,265 172,155 351,795 539,419 1,618,257 2,697,095 8,091,285

Collatz Trajectory (186 steps to reach 1)

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

8,091,285 24,273,856 12,136,928 6,068,464 3,034,232 1,517,116 758,558 379,279 1,137,838 568,919 1,706,758 853,379 2,560,138 1,280,069 3,840,208 1,920,104 960,052 480,026 240,013 720,040 360,020 180,010 90,005 270,016 135,008 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

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