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Atlas › Integer Profiles › Node 8,252,760

8,252,760

23 × 3 × 5 × 97 × 709
Abundant Even Composite

8,252,760 factors as 2^3 × 3 × 5 × 97 × 709. Its 64 positive divisors give a proper-divisor sum of 16,796,040, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 97 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,048,800
Proper Divisor Sum 16,796,040
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8252759 ← → #8252771

Radix Representation

Decimal 8252760
Binary 11111011110110101011000 (23 bits)
Octal 0o37366530
Hexadecimal 0x7DED58

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 709 776 970 1,164 1,418 1,455 1,940 2,127 2,328 2,836 2,910 3,545 3,880 4,254 5,672 5,820 7,090 8,508 10,635 11,640 14,180 17,016 21,270 28,360 42,540 68,773 85,080 137,546 206,319 275,092 343,865 412,638 550,184 687,730 825,276 1,031,595 1,375,460 1,650,552

Collatz Trajectory (106 steps to reach 1)

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

8,252,760 4,126,380 2,063,190 1,031,595 3,094,786 1,547,393 4,642,180 2,321,090 1,160,545 3,481,636 1,740,818 870,409 2,611,228 1,305,614 652,807 1,958,422 979,211 2,937,634 1,468,817 4,406,452 2,203,226 1,101,613 3,304,840 1,652,420 826,210 413,105 1,239,316 619,658 309,829 929,488 464,744 232,372 116,186 58,093 174,280 87,140 43,570 21,785 65,356 32,678 16,339 49,018 24,509 73,528 36,764 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352

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