λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,679,998

6,679,998

2 × 32 × 13 × 28547
Abundant Even Composite

6,679,998 factors as 2 × 3^2 × 13 × 28547. Its 24 positive divisors give a proper-divisor sum of 8,907,210, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 28547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,587,208
Proper Divisor Sum 8,907,210
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #6679993 ← → #6679999

Radix Representation

Decimal 6679998
Binary 11001011110110110111110 (23 bits)
Octal 0o31366676
Hexadecimal 0x65EDBE

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 28,547 57,094 85,641 171,282 256,923 371,111 513,846 742,222 1,113,333 2,226,666 3,339,999 6,679,998

Collatz Trajectory (90 steps to reach 1)

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

6,679,998 3,339,999 10,019,998 5,009,999 15,029,998 7,514,999 22,544,998 11,272,499 33,817,498 16,908,749 50,726,248 25,363,124 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

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #6,679,997 Browse Full Index Next Integer #6,679,999 →