8,513,871

3 × 31 × 43 × 2129

8,513,871 factors as 3 × 31 × 43 × 2129. Its 16 positive divisors give a proper-divisor sum of 3,482,289, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 31 × 43 × 2129

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,996,160

Proper Divisor Sum 3,482,289

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8513863 ← → #8513893

Radix Representation

Decimal	8513871
Binary	100000011110100101001111 (24 bits)
Octal	0o40364517
Hexadecimal	0x81E94F

Divisor Catalog (16)

1 3 31 43 93 129 1,333 2,129 3,999 6,387 65,999 91,547 197,997 274,641 2,837,957 8,513,871

Collatz Trajectory (199 steps to reach 1)

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

8,513,871 25,541,614 12,770,807 38,312,422 19,156,211 57,468,634 28,734,317 86,202,952 43,101,476 21,550,738 10,775,369 32,326,108 16,163,054 8,081,527 24,244,582 12,122,291 36,366,874 18,183,437 54,550,312 27,275,156 13,637,578 6,818,789 20,456,368 10,228,184 5,114,092 2,557,046 1,278,523 3,835,570 1,917,785 5,753,356 2,876,678 1,438,339 4,315,018 2,157,509 6,472,528 3,236,264 1,618,132 809,066 404,533 1,213,600 606,800 303,400 151,700 75,850 37,925 113,776 56,888 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001

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