6,997,130

2 × 5 × 7 × 19 × 5261

6,997,130 factors as 2 × 5 × 7 × 19 × 5261. Its 32 positive divisors give a proper-divisor sum of 8,157,430, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 19 × 5261

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,154,560

Proper Divisor Sum 8,157,430

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6997117 ← → #6997139

Radix Representation

Decimal	6997130
Binary	11010101100010010001010 (23 bits)
Octal	0o32542212
Hexadecimal	0x6AC48A

Divisor Catalog (32)

Collatz Trajectory (147 steps to reach 1)

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

6,997,130 3,498,565 10,495,696 5,247,848 2,623,924 1,311,962 655,981 1,967,944 983,972 491,986 245,993 737,980 368,990 184,495 553,486 276,743 830,230 415,115 1,245,346 622,673 1,868,020 934,010 467,005 1,401,016 700,508 350,254 175,127 525,382 262,691 788,074 394,037 1,182,112 591,056 295,528 147,764 73,882 36,941 110,824 55,412 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 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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