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Atlas › Integer Profiles › Node 7,939,720

7,939,720

23 × 5 × 19 × 31 × 337
Abundant Even Composite

7,939,720 factors as 2^3 × 5 × 19 × 31 × 337. Its 64 positive divisors give a proper-divisor sum of 11,529,080, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 31 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,468,800
Proper Divisor Sum 11,529,080
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7939709 ← → #7939727

Radix Representation

Decimal 7939720
Binary 11110010010011010001000 (23 bits)
Octal 0o36223210
Hexadecimal 0x792688

Divisor Catalog (60 of 64)

1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 337 380 589 620 674 760 1,178 1,240 1,348 1,685 2,356 2,696 2,945 3,370 4,712 5,890 6,403 6,740 10,447 11,780 12,806 13,480 20,894 23,560 25,612 32,015 41,788 51,224 52,235 64,030 83,576 104,470 128,060 198,493 208,940 256,120 396,986 417,880 793,972 992,465

Collatz Trajectory (124 steps to reach 1)

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

7,939,720 3,969,860 1,984,930 992,465 2,977,396 1,488,698 744,349 2,233,048 1,116,524 558,262 279,131 837,394 418,697 1,256,092 628,046 314,023 942,070 471,035 1,413,106 706,553 2,119,660 1,059,830 529,915 1,589,746 794,873 2,384,620 1,192,310 596,155 1,788,466 894,233 2,682,700 1,341,350 670,675 2,012,026 1,006,013 3,018,040 1,509,020 754,510 377,255 1,131,766 565,883 1,697,650 848,825 2,546,476 1,273,238 636,619 1,909,858 954,929 2,864,788 1,432,394 716,197 2,148,592 1,074,296 537,148 268,574 134,287 402,862 201,431 604,294 302,147

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