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5,085,801

33 × 7 × 71 × 379
Deficient Odd Composite

5,085,801 factors as 3^3 × 7 × 71 × 379. Its 32 positive divisors give a proper-divisor sum of 3,669,399, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 71 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,755,200
Proper Divisor Sum 3,669,399
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5085797 ← → #5085803

Radix Representation

Decimal 5085801
Binary 10011011001101001101001 (23 bits)
Octal 0o23315151
Hexadecimal 0x4D9A69

Divisor Catalog (32)

1 3 7 9 21 27 63 71 189 213 379 497 639 1,137 1,491 1,917 2,653 3,411 4,473 7,959 10,233 13,419 23,877 26,909 71,631 80,727 188,363 242,181 565,089 726,543 1,695,267 5,085,801

Collatz Trajectory (175 steps to reach 1)

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

5,085,801 15,257,404 7,628,702 3,814,351 11,443,054 5,721,527 17,164,582 8,582,291 25,746,874 12,873,437 38,620,312 19,310,156 9,655,078 4,827,539 14,482,618 7,241,309 21,723,928 10,861,964 5,430,982 2,715,491 8,146,474 4,073,237 12,219,712 6,109,856 3,054,928 1,527,464 763,732 381,866 190,933 572,800 286,400 143,200 71,600 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380

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