7,790,776

2³ × 7 × 139121

7,790,776 factors as 2^3 × 7 × 139121. Its 16 positive divisors give a proper-divisor sum of 8,903,864, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 139121

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,694,640

Proper Divisor Sum 8,903,864

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7790729 ← → #7790791

Radix Representation

Decimal	7790776
Binary	11101101110000010111000 (23 bits)
Octal	0o35560270
Hexadecimal	0x76E0B8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 139,121 278,242 556,484 973,847 1,112,968 1,947,694 3,895,388 7,790,776

Collatz Trajectory (124 steps to reach 1)

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

7,790,776 3,895,388 1,947,694 973,847 2,921,542 1,460,771 4,382,314 2,191,157 6,573,472 3,286,736 1,643,368 821,684 410,842 205,421 616,264 308,132 154,066 77,033 231,100 115,550 57,775 173,326 86,663 259,990 129,995 389,986 194,993 584,980 292,490 146,245 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242

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