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Atlas › Integer Profiles › Node 9,458,120

9,458,120

23 × 5 × 7 × 17 × 1987
Abundant Even Composite

9,458,120 factors as 2^3 × 5 × 7 × 17 × 1987. Its 64 positive divisors give a proper-divisor sum of 16,306,360, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17 × 1987
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,764,480
Proper Divisor Sum 16,306,360
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9458107 ← → #9458153

Radix Representation

Decimal 9458120
Binary 100100000101000111001000 (24 bits)
Octal 0o44050710
Hexadecimal 0x9051C8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1,190 1,987 2,380 3,974 4,760 7,948 9,935 13,909 15,896 19,870 27,818 33,779 39,740 55,636 67,558 69,545 79,480 111,272 135,116 139,090 168,895 236,453 270,232 278,180 337,790 472,906 556,360 675,580 945,812 1,182,265 1,351,160

Collatz Trajectory (124 steps to reach 1)

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

9,458,120 4,729,060 2,364,530 1,182,265 3,546,796 1,773,398 886,699 2,660,098 1,330,049 3,990,148 1,995,074 997,537 2,992,612 1,496,306 748,153 2,244,460 1,122,230 561,115 1,683,346 841,673 2,525,020 1,262,510 631,255 1,893,766 946,883 2,840,650 1,420,325 4,260,976 2,130,488 1,065,244 532,622 266,311 798,934 399,467 1,198,402 599,201 1,797,604 898,802 449,401 1,348,204 674,102 337,051 1,011,154 505,577 1,516,732 758,366 379,183 1,137,550 568,775 1,706,326 853,163 2,559,490 1,279,745 3,839,236 1,919,618 959,809 2,879,428 1,439,714 719,857 2,159,572

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