6,982,276

2² × 7 × 249367

6,982,276 factors as 2^2 × 7 × 249367. Its 12 positive divisors give a proper-divisor sum of 6,982,332, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 249367

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,964,608

Proper Divisor Sum 6,982,332

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6982247 ← → #6982279

Radix Representation

Decimal	6982276
Binary	11010101000101010000100 (23 bits)
Octal	0o32505204
Hexadecimal	0x6A8A84

Divisor Catalog (12)

1 2 4 7 14 28 249,367 498,734 997,468 1,745,569 3,491,138 6,982,276

Collatz Trajectory (160 steps to reach 1)

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

6,982,276 3,491,138 1,745,569 5,236,708 2,618,354 1,309,177 3,927,532 1,963,766 981,883 2,945,650 1,472,825 4,418,476 2,209,238 1,104,619 3,313,858 1,656,929 4,970,788 2,485,394 1,242,697 3,728,092 1,864,046 932,023 2,796,070 1,398,035 4,194,106 2,097,053 6,291,160 3,145,580 1,572,790 786,395 2,359,186 1,179,593 3,538,780 1,769,390 884,695 2,654,086 1,327,043 3,981,130 1,990,565 5,971,696 2,985,848 1,492,924 746,462 373,231 1,119,694 559,847 1,679,542 839,771 2,519,314 1,259,657 3,778,972 1,889,486 944,743 2,834,230 1,417,115 4,251,346 2,125,673 6,377,020 3,188,510 1,594,255

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