9,306,570

2 × 3 × 5 × 7² × 13 × 487

9,306,570 factors as 2 × 3 × 5 × 7^2 × 13 × 487. Its 96 positive divisors give a proper-divisor sum of 18,731,958, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 13 × 487

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 28,038,528

Proper Divisor Sum 18,731,958

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9306553 ← → #9306571

Radix Representation

Decimal	9306570
Binary	100011100000000111001010 (24 bits)
Octal	0o43400712
Hexadecimal	0x8E01CA

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 487 490 546 637 735 910 974 1,274 1,365 1,461 1,470 1,911 2,435 2,730 2,922 3,185 3,409 3,822 4,870 6,331 6,370 6,818 7,305 9,555 10,227 12,662 14,610

Collatz Trajectory (300 steps to reach 1)

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

9,306,570 4,653,285 13,959,856 6,979,928 3,489,964 1,744,982 872,491 2,617,474 1,308,737 3,926,212 1,963,106 981,553 2,944,660 1,472,330 736,165 2,208,496 1,104,248 552,124 276,062 138,031 414,094 207,047 621,142 310,571 931,714 465,857 1,397,572 698,786 349,393 1,048,180 524,090 262,045 786,136 393,068 196,534 98,267 294,802 147,401 442,204 221,102 110,551 331,654 165,827 497,482 248,741 746,224 373,112 186,556 93,278 46,639 139,918 69,959 209,878 104,939 314,818 157,409 472,228 236,114 118,057 354,172

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