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Atlas › Integer Profiles › Node 9,752,500

9,752,500

22 × 54 × 47 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^4 × 47 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 22,042,944
Proper Divisor Sum 12,290,444
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9752467 ← → #9752503

Radix Representation

Decimal 9752500
Binary 100101001100111110110100 (24 bits)
Octal 0o45147664
Hexadecimal 0x94CFB4

Divisor Catalog (60)

1 2 4 5 10 20 25 47 50 83 94 100 125 166 188 235 250 332 415 470 500 625 830 940 1,175 1,250 1,660 2,075 2,350 2,500 3,901 4,150 4,700 5,875 7,802 8,300 10,375 11,750 15,604 19,505 20,750 23,500 29,375 39,010 41,500 51,875 58,750 78,020 97,525 103,750 117,500 195,050 207,500 390,100 487,625 975,250 1,950,500 2,438,125 4,876,250 9,752,500

Collatz Trajectory (269 steps to reach 1)

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

9,752,500 4,876,250 2,438,125 7,314,376 3,657,188 1,828,594 914,297 2,742,892 1,371,446 685,723 2,057,170 1,028,585 3,085,756 1,542,878 771,439 2,314,318 1,157,159 3,471,478 1,735,739 5,207,218 2,603,609 7,810,828 3,905,414 1,952,707 5,858,122 2,929,061 8,787,184 4,393,592 2,196,796 1,098,398 549,199 1,647,598 823,799 2,471,398 1,235,699 3,707,098 1,853,549 5,560,648 2,780,324 1,390,162 695,081 2,085,244 1,042,622 521,311 1,563,934 781,967 2,345,902 1,172,951 3,518,854 1,759,427 5,278,282 2,639,141 7,917,424 3,958,712 1,979,356 989,678 494,839 1,484,518 742,259 2,226,778

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