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9,948,540

22 × 3 × 5 × 7 × 23687
Abundant Even Composite

9,948,540 factors as 2^2 × 3 × 5 × 7 × 23687. Its 48 positive divisors give a proper-divisor sum of 21,888,132, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 23687
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,836,672
Proper Divisor Sum 21,888,132
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9948517 ← → #9948541

Radix Representation

Decimal 9948540
Binary 100101111100110101111100 (24 bits)
Octal 0o45746574
Hexadecimal 0x97CD7C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 23,687 47,374 71,061 94,748 118,435 142,122 165,809 236,870 284,244 331,618 355,305 473,740 497,427 663,236 710,610 829,045 994,854 1,421,220 1,658,090 1,989,708 2,487,135 3,316,180 4,974,270 9,948,540

Collatz Trajectory (88 steps to reach 1)

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

9,948,540 4,974,270 2,487,135 7,461,406 3,730,703 11,192,110 5,596,055 16,788,166 8,394,083 25,182,250 12,591,125 37,773,376 18,886,688 9,443,344 4,721,672 2,360,836 1,180,418 590,209 1,770,628 885,314 442,657 1,327,972 663,986 331,993 995,980 497,990 248,995 746,986 373,493 1,120,480 560,240 280,120 140,060 70,030 35,015 105,046 52,523 157,570 78,785 236,356 118,178 59,089 177,268 88,634 44,317 132,952 66,476 33,238 16,619 49,858 24,929 74,788 37,394 18,697 56,092 28,046 14,023 42,070 21,035 63,106

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