7,991,757

3³ × 347 × 853

7,991,757 factors as 3^3 × 347 × 853. Its 16 positive divisors give a proper-divisor sum of 3,895,923, so this integer is deficient. The Collatz stopping time is 398 steps.

Prime Factor Structure

Factorization String 3^3 × 347 × 853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,887,680

Proper Divisor Sum 3,895,923

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7991749 ← → #7991759

Radix Representation

Decimal	7991757
Binary	11110011111000111001101 (23 bits)
Octal	0o36370715
Hexadecimal	0x79F1CD

Divisor Catalog (16)

1 3 9 27 347 853 1,041 2,559 3,123 7,677 9,369 23,031 295,991 887,973 2,663,919 7,991,757

Collatz Trajectory (398 steps to reach 1)

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

7,991,757 23,975,272 11,987,636 5,993,818 2,996,909 8,990,728 4,495,364 2,247,682 1,123,841 3,371,524 1,685,762 842,881 2,528,644 1,264,322 632,161 1,896,484 948,242 474,121 1,422,364 711,182 355,591 1,066,774 533,387 1,600,162 800,081 2,400,244 1,200,122 600,061 1,800,184 900,092 450,046 225,023 675,070 337,535 1,012,606 506,303 1,518,910 759,455 2,278,366 1,139,183 3,417,550 1,708,775 5,126,326 2,563,163 7,689,490 3,844,745 11,534,236 5,767,118 2,883,559 8,650,678 4,325,339 12,976,018 6,488,009 19,464,028 9,732,014 4,866,007 14,598,022 7,299,011 21,897,034 10,948,517

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