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Atlas › Integer Profiles › Node 9,107,540

9,107,540

22 × 5 × 13 × 23 × 1523
Abundant Even Composite

9,107,540 factors as 2^2 × 5 × 13 × 23 × 1523. Its 48 positive divisors give a proper-divisor sum of 12,399,148, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 23 × 1523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,506,688
Proper Divisor Sum 12,399,148
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9107531 ← → #9107591

Radix Representation

Decimal 9107540
Binary 100010101111100001010100 (24 bits)
Octal 0o42574124
Hexadecimal 0x8AF854

Divisor Catalog (48)

1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1,196 1,495 1,523 2,990 3,046 5,980 6,092 7,615 15,230 19,799 30,460 35,029 39,598 70,058 79,196 98,995 140,116 175,145 197,990 350,290 395,980 455,377 700,580 910,754 1,821,508 2,276,885 4,553,770 9,107,540

Collatz Trajectory (212 steps to reach 1)

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

9,107,540 4,553,770 2,276,885 6,830,656 3,415,328 1,707,664 853,832 426,916 213,458 106,729 320,188 160,094 80,047 240,142 120,071 360,214 180,107 540,322 270,161 810,484 405,242 202,621 607,864 303,932 151,966 75,983 227,950 113,975 341,926 170,963 512,890 256,445 769,336 384,668 192,334 96,167 288,502 144,251 432,754 216,377 649,132 324,566 162,283 486,850 243,425 730,276 365,138 182,569 547,708 273,854 136,927 410,782 205,391 616,174 308,087 924,262 462,131 1,386,394 693,197 2,079,592

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