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Atlas › Integer Profiles › Node 7,962,080

7,962,080

25 × 5 × 7 × 7109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 7109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,500,640
Proper Divisor Sum 13,538,560
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7962047 ← → #7962091

Radix Representation

Decimal 7962080
Binary 11110010111110111100000 (23 bits)
Octal 0o36276740
Hexadecimal 0x797DE0

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1,120 7,109 14,218 28,436 35,545 49,763 56,872 71,090 99,526 113,744 142,180 199,052 227,488 248,815 284,360 398,104 497,630 568,720 796,208 995,260 1,137,440 1,592,416 1,990,520 3,981,040 7,962,080

Collatz Trajectory (217 steps to reach 1)

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

7,962,080 3,981,040 1,990,520 995,260 497,630 248,815 746,446 373,223 1,119,670 559,835 1,679,506 839,753 2,519,260 1,259,630 629,815 1,889,446 944,723 2,834,170 1,417,085 4,251,256 2,125,628 1,062,814 531,407 1,594,222 797,111 2,391,334 1,195,667 3,587,002 1,793,501 5,380,504 2,690,252 1,345,126 672,563 2,017,690 1,008,845 3,026,536 1,513,268 756,634 378,317 1,134,952 567,476 283,738 141,869 425,608 212,804 106,402 53,201 159,604 79,802 39,901 119,704 59,852 29,926 14,963 44,890 22,445 67,336 33,668 16,834 8,417

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