6,976,844

2² × 7 × 67 × 3719

6,976,844 factors as 2^2 × 7 × 67 × 3719. Its 24 positive divisors give a proper-divisor sum of 7,188,916, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 67 × 3719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,165,760

Proper Divisor Sum 7,188,916

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6976787 ← → #6976861

Radix Representation

Decimal	6976844
Binary	11010100111010101001100 (23 bits)
Octal	0o32472514
Hexadecimal	0x6A754C

Divisor Catalog (24)

Collatz Trajectory (103 steps to reach 1)

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

6,976,844 3,488,422 1,744,211 5,232,634 2,616,317 7,848,952 3,924,476 1,962,238 981,119 2,943,358 1,471,679 4,415,038 2,207,519 6,622,558 3,311,279 9,933,838 4,966,919 14,900,758 7,450,379 22,351,138 11,175,569 33,526,708 16,763,354 8,381,677 25,145,032 12,572,516 6,286,258 3,143,129 9,429,388 4,714,694 2,357,347 7,072,042 3,536,021 10,608,064 5,304,032 2,652,016 1,326,008 663,004 331,502 165,751 497,254 248,627 745,882 372,941 1,118,824 559,412 279,706 139,853 419,560 209,780 104,890 52,445 157,336 78,668 39,334 19,667 59,002 29,501 88,504 44,252

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