6,787,998

2 × 3² × 7 × 17 × 3169

6,787,998 has digital root 9. The neighboring primes are 6787961 and 6788021; its proper-divisor sum differs from the starting integer by 4,226,724.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 3169

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,802,720

Proper Divisor Sum 11,014,722

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #6787961 ← → #6788021

Radix Representation

Decimal	6787998
Binary	11001111001001110011110 (23 bits)
Octal	0o31711636
Hexadecimal	0x67939E

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1,071 2,142 3,169 6,338 9,507 19,014 22,183 28,521 44,366 53,873 57,042 66,549 107,746 133,098 161,619 199,647 323,238 377,111 399,294 484,857 754,222 969,714 1,131,333 2,262,666 3,393,999 6,787,998

Collatz Trajectory (165 steps to reach 1)

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

6,787,998 3,393,999 10,181,998 5,090,999 15,272,998 7,636,499 22,909,498 11,454,749 34,364,248 17,182,124 8,591,062 4,295,531 12,886,594 6,443,297 19,329,892 9,664,946 4,832,473 14,497,420 7,248,710 3,624,355 10,873,066 5,436,533 16,309,600 8,154,800 4,077,400 2,038,700 1,019,350 509,675 1,529,026 764,513 2,293,540 1,146,770 573,385 1,720,156 860,078 430,039 1,290,118 645,059 1,935,178 967,589 2,902,768 1,451,384 725,692 362,846 181,423 544,270 272,135 816,406 408,203 1,224,610 612,305 1,836,916 918,458 459,229 1,377,688 688,844 344,422 172,211 516,634 258,317

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