9,738,540

2² × 3² × 5 × 7 × 59 × 131

9,738,540 factors as 2^2 × 3^2 × 5 × 7 × 59 × 131. Its 144 positive divisors give a proper-divisor sum of 24,856,020, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 59 × 131

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 34,594,560

Proper Divisor Sum 24,856,020

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9738529 ← → #9738551

Radix Representation

Decimal	9738540
Binary	100101001001100100101100 (24 bits)
Octal	0o45114454
Hexadecimal	0x94992C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 131 140 177 180 210 236 252 262 295 315 354 393 413 420 524 531 590 630 655 708 786 826 885 917 1,062 1,179 1,180 1,239 1,260 1,310

Collatz Trajectory (207 steps to reach 1)

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

9,738,540 4,869,270 2,434,635 7,303,906 3,651,953 10,955,860 5,477,930 2,738,965 8,216,896 4,108,448 2,054,224 1,027,112 513,556 256,778 128,389 385,168 192,584 96,292 48,146 24,073 72,220 36,110 18,055 54,166 27,083 81,250 40,625 121,876 60,938 30,469 91,408 45,704 22,852 11,426 5,713 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

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