16,049,331

3² × 23² × 3371

16,049,331 factors as 3^2 × 23^2 × 3371. Its 18 positive divisors give a proper-divisor sum of 8,191,977, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 3^2 × 23^2 × 3371

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 24,241,308

Proper Divisor Sum 8,191,977

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #16049321 ← → #16049333

Radix Representation

Decimal	16049331
Binary	111101001110010010110011 (24 bits)
Octal	0o75162263
Hexadecimal	0xF4E4B3

Divisor Catalog (18)

1 3 9 23 69 207 529 1,587 3,371 4,761 10,113 30,339 77,533 232,599 697,797 1,783,259 5,349,777 16,049,331

Collatz Trajectory (117 steps to reach 1)

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

16,049,331 48,147,994 24,073,997 72,221,992 36,110,996 18,055,498 9,027,749 27,083,248 13,541,624 6,770,812 3,385,406 1,692,703 5,078,110 2,539,055 7,617,166 3,808,583 11,425,750 5,712,875 17,138,626 8,569,313 25,707,940 12,853,970 6,426,985 19,280,956 9,640,478 4,820,239 14,460,718 7,230,359 21,691,078 10,845,539 32,536,618 16,268,309 48,804,928 24,402,464 12,201,232 6,100,616 3,050,308 1,525,154 762,577 2,287,732 1,143,866 571,933 1,715,800 857,900 428,950 214,475 643,426 321,713 965,140 482,570 241,285 723,856 361,928 180,964 90,482 45,241 135,724 67,862 33,931 101,794

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