6,998,097

3 × 137 × 17027

6,998,097 has digital root 3. The neighboring primes are 6998093 and 6998107; its proper-divisor sum differs from the starting integer by -4,596,738.

Prime Factor Structure

Factorization String 3 × 137 × 17027

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,399,456

Proper Divisor Sum 2,401,359

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #6998093 ← → #6998107

Radix Representation

Decimal	6998097
Binary	11010101100100001010001 (23 bits)
Octal	0o32544121
Hexadecimal	0x6AC851

Divisor Catalog (8)

1 3 137 411 17,027 51,081 2,332,699 6,998,097

Collatz Trajectory (147 steps to reach 1)

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

6,998,097 20,994,292 10,497,146 5,248,573 15,745,720 7,872,860 3,936,430 1,968,215 5,904,646 2,952,323 8,856,970 4,428,485 13,285,456 6,642,728 3,321,364 1,660,682 830,341 2,491,024 1,245,512 622,756 311,378 155,689 467,068 233,534 116,767 350,302 175,151 525,454 262,727 788,182 394,091 1,182,274 591,137 1,773,412 886,706 443,353 1,330,060 665,030 332,515 997,546 498,773 1,496,320 748,160 374,080 187,040 93,520 46,760 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206

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