λ
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9,852,010

2 × 5 × 7 × 172 × 487
Abundant Even Composite

9,852,010 factors as 2 × 5 × 7 × 17^2 × 487. Its 48 positive divisors give a proper-divisor sum of 11,721,494, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17^2 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,573,504
Proper Divisor Sum 11,721,494
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9851987 ← → #9852019

Radix Representation

Decimal 9852010
Binary 100101100101010001101010 (24 bits)
Octal 0o45452152
Hexadecimal 0x96546A

Divisor Catalog (48)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 289 487 578 595 974 1,190 1,445 2,023 2,435 2,890 3,409 4,046 4,870 6,818 8,279 10,115 16,558 17,045 20,230 34,090 41,395 57,953 82,790 115,906 140,743 281,486 289,765 579,530 703,715 985,201 1,407,430 1,970,402 4,926,005 9,852,010

Collatz Trajectory (238 steps to reach 1)

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

9,852,010 4,926,005 14,778,016 7,389,008 3,694,504 1,847,252 923,626 461,813 1,385,440 692,720 346,360 173,180 86,590 43,295 129,886 64,943 194,830 97,415 292,246 146,123 438,370 219,185 657,556 328,778 164,389 493,168 246,584 123,292 61,646 30,823 92,470 46,235 138,706 69,353 208,060 104,030 52,015 156,046 78,023 234,070 117,035 351,106 175,553 526,660 263,330 131,665 394,996 197,498 98,749 296,248 148,124 74,062 37,031 111,094 55,547 166,642 83,321 249,964 124,982 62,491

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