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Atlas › Integer Profiles › Node 6,991,998

6,991,998

2 × 3 × 13 × 17 × 5273
Abundant Even Composite

6,991,998 factors as 2 × 3 × 13 × 17 × 5273. Its 32 positive divisors give a proper-divisor sum of 8,956,578, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 17 × 5273
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,948,576
Proper Divisor Sum 8,956,578
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #6991997 ← → #6992039

Radix Representation

Decimal 6991998
Binary 11010101011000001111110 (23 bits)
Octal 0o32530176
Hexadecimal 0x6AB07E

Divisor Catalog (32)

1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1,326 5,273 10,546 15,819 31,638 68,549 89,641 137,098 179,282 205,647 268,923 411,294 537,846 1,165,333 2,330,666 3,495,999 6,991,998

Collatz Trajectory (253 steps to reach 1)

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

6,991,998 3,495,999 10,487,998 5,243,999 15,731,998 7,865,999 23,597,998 11,798,999 35,396,998 17,698,499 53,095,498 26,547,749 79,643,248 39,821,624 19,910,812 9,955,406 4,977,703 14,933,110 7,466,555 22,399,666 11,199,833 33,599,500 16,799,750 8,399,875 25,199,626 12,599,813 37,799,440 18,899,720 9,449,860 4,724,930 2,362,465 7,087,396 3,543,698 1,771,849 5,315,548 2,657,774 1,328,887 3,986,662 1,993,331 5,979,994 2,989,997 8,969,992 4,484,996 2,242,498 1,121,249 3,363,748 1,681,874 840,937 2,522,812 1,261,406 630,703 1,892,110 946,055 2,838,166 1,419,083 4,257,250 2,128,625 6,385,876 3,192,938 1,596,469

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