3,120,117

3 × 7 × 11 × 13 × 1039

3,120,117 has digital root 6. The neighboring primes are 3120107 and 3120127; its proper-divisor sum differs from the starting integer by -649,194.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 1039

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,591,040

Proper Divisor Sum 2,470,923

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3120107 ← → #3120127

Radix Representation

Decimal	3120117
Binary	1011111001101111110101 (22 bits)
Octal	0o13715765
Hexadecimal	0x2F9BF5

Divisor Catalog (32)

1 3 7 11 13 21 33 39 77 91 143 231 273 429 1,001 1,039 3,003 3,117 7,273 11,429 13,507 21,819 34,287 40,521 80,003 94,549 148,577 240,009 283,647 445,731 1,040,039 3,120,117

Collatz Trajectory (301 steps to reach 1)

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

3,120,117 9,360,352 4,680,176 2,340,088 1,170,044 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931 12,650,794 6,325,397 18,976,192 9,488,096 4,744,048 2,372,024 1,186,012 593,006 296,503 889,510 444,755 1,334,266 667,133 2,001,400 1,000,700 500,350 250,175 750,526 375,263 1,125,790 562,895 1,688,686 844,343 2,533,030 1,266,515 3,799,546 1,899,773 5,699,320 2,849,660 1,424,830 712,415

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