6,987,148

2² × 7 × 249541

6,987,148 factors as 2^2 × 7 × 249541. Its 12 positive divisors give a proper-divisor sum of 6,987,204, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 249541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,974,352

Proper Divisor Sum 6,987,204

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6987139 ← → #6987163

Radix Representation

Decimal	6987148
Binary	11010101001110110001100 (23 bits)
Octal	0o32516614
Hexadecimal	0x6A9D8C

Divisor Catalog (12)

1 2 4 7 14 28 249,541 499,082 998,164 1,746,787 3,493,574 6,987,148

Collatz Trajectory (147 steps to reach 1)

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

6,987,148 3,493,574 1,746,787 5,240,362 2,620,181 7,860,544 3,930,272 1,965,136 982,568 491,284 245,642 122,821 368,464 184,232 92,116 46,058 23,029 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206

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