7,797,686

2 × 13 × 443 × 677

7,797,686 factors as 2 × 13 × 443 × 677. Its 16 positive divisors give a proper-divisor sum of 4,845,658, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2 × 13 × 443 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,643,344

Proper Divisor Sum 4,845,658

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #7797683 ← → #7797697

Radix Representation

Decimal	7797686
Binary	11101101111101110110110 (23 bits)
Octal	0o35575666
Hexadecimal	0x76FBB6

Divisor Catalog (16)

1 2 13 26 443 677 886 1,354 5,759 8,801 11,518 17,602 299,911 599,822 3,898,843 7,797,686

Collatz Trajectory (67 steps to reach 1)

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

7,797,686 3,898,843 11,696,530 5,848,265 17,544,796 8,772,398 4,386,199 13,158,598 6,579,299 19,737,898 9,868,949 29,606,848 14,803,424 7,401,712 3,700,856 1,850,428 925,214 462,607 1,387,822 693,911 2,081,734 1,040,867 3,122,602 1,561,301 4,683,904 2,341,952 1,170,976 585,488 292,744 146,372 73,186 36,593 109,780 54,890 27,445 82,336 41,168 20,584 10,292 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40

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