9,770,904

2³ × 3² × 11 × 13² × 73

9,770,904 factors as 2^3 × 3^2 × 11 × 13^2 × 73. Its 144 positive divisors give a proper-divisor sum of 21,917,376, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 13^2 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 31,688,280

Proper Divisor Sum 21,917,376

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9770899 ← → #9770909

Radix Representation

Decimal	9770904
Binary	100101010001011110011000 (24 bits)
Octal	0o45213630
Hexadecimal	0x951798

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 73 78 88 99 104 117 132 143 146 156 169 198 219 234 264 286 292 312 338 396 429 438 468 507 572 584 657 676 792 803 858 876 936 949 1,014 1,144 1,287 1,314 1,352

Collatz Trajectory (238 steps to reach 1)

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

9,770,904 4,885,452 2,442,726 1,221,363 3,664,090 1,832,045 5,496,136 2,748,068 1,374,034 687,017 2,061,052 1,030,526 515,263 1,545,790 772,895 2,318,686 1,159,343 3,478,030 1,739,015 5,217,046 2,608,523 7,825,570 3,912,785 11,738,356 5,869,178 2,934,589 8,803,768 4,401,884 2,200,942 1,100,471 3,301,414 1,650,707 4,952,122 2,476,061 7,428,184 3,714,092 1,857,046 928,523 2,785,570 1,392,785 4,178,356 2,089,178 1,044,589 3,133,768 1,566,884 783,442 391,721 1,175,164 587,582 293,791 881,374 440,687 1,322,062 661,031 1,983,094 991,547 2,974,642 1,487,321 4,461,964 2,230,982

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