10,019,997

3³ × 13 × 28547

10,019,997 factors as 3^3 × 13 × 28547. Its 16 positive divisors give a proper-divisor sum of 5,966,883, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 28547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,986,880

Proper Divisor Sum 5,966,883

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #10019983 ← → #10020013

Radix Representation

Decimal	10019997
Binary	100110001110010010011101 (24 bits)
Octal	0o46162235
Hexadecimal	0x98E49D

Divisor Catalog (16)

1 3 9 13 27 39 117 351 28,547 85,641 256,923 371,111 770,769 1,113,333 3,339,999 10,019,997

Collatz Trajectory (88 steps to reach 1)

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

10,019,997 30,059,992 15,029,996 7,514,998 3,757,499 11,272,498 5,636,249 16,908,748 8,454,374 4,227,187 12,681,562 6,340,781 19,022,344 9,511,172 4,755,586 2,377,793 7,133,380 3,566,690 1,783,345 5,350,036 2,675,018 1,337,509 4,012,528 2,006,264 1,003,132 501,566 250,783 752,350 376,175 1,128,526 564,263 1,692,790 846,395 2,539,186 1,269,593 3,808,780 1,904,390 952,195 2,856,586 1,428,293 4,284,880 2,142,440 1,071,220 535,610 267,805 803,416 401,708 200,854 100,427 301,282 150,641 451,924 225,962 112,981 338,944 169,472 84,736 42,368 21,184 10,592

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