9,529,146

2 × 3² × 11 × 17 × 19 × 149

9,529,146 factors as 2 × 3^2 × 11 × 17 × 19 × 149. Its 96 positive divisors give a proper-divisor sum of 15,742,854, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 17 × 19 × 149

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 25,272,000

Proper Divisor Sum 15,742,854

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9529133 ← → #9529151

Radix Representation

Decimal	9529146
Binary	100100010110011100111010 (24 bits)
Octal	0o44263472
Hexadecimal	0x91673A

Divisor Catalog (60 of 96)

1 2 3 6 9 11 17 18 19 22 33 34 38 51 57 66 99 102 114 149 153 171 187 198 209 298 306 323 342 374 418 447 561 627 646 894 969 1,122 1,254 1,341 1,639 1,683 1,881 1,938 2,533 2,682 2,831 2,907 3,278 3,366 3,553 3,762 4,917 5,066 5,662 5,814 7,106 7,599 8,493 9,834

Collatz Trajectory (194 steps to reach 1)

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

9,529,146 4,764,573 14,293,720 7,146,860 3,573,430 1,786,715 5,360,146 2,680,073 8,040,220 4,020,110 2,010,055 6,030,166 3,015,083 9,045,250 4,522,625 13,567,876 6,783,938 3,391,969 10,175,908 5,087,954 2,543,977 7,631,932 3,815,966 1,907,983 5,723,950 2,861,975 8,585,926 4,292,963 12,878,890 6,439,445 19,318,336 9,659,168 4,829,584 2,414,792 1,207,396 603,698 301,849 905,548 452,774 226,387 679,162 339,581 1,018,744 509,372 254,686 127,343 382,030 191,015 573,046 286,523 859,570 429,785 1,289,356 644,678 322,339 967,018 483,509 1,450,528 725,264 362,632

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