9,739,632

2⁴ × 3 × 7² × 41 × 101

Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 41 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 30,279,312

Proper Divisor Sum 20,539,680

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9739559 ← → #9739643

Radix Representation

Decimal	9739632
Binary	100101001001110101110000 (24 bits)
Octal	0o45116560
Hexadecimal	0x949D70

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 101 112 123 147 164 168 196 202 246 287 294 303 328 336 392 404 492 574 588 606 656 707 784 808 861 984 1,148 1,176 1,212 1,414 1,616 1,722 1,968 2,009 2,121 2,296 2,352 2,424 2,828

Collatz Trajectory (145 steps to reach 1)

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

9,739,632 4,869,816 2,434,908 1,217,454 608,727 1,826,182 913,091 2,739,274 1,369,637 4,108,912 2,054,456 1,027,228 513,614 256,807 770,422 385,211 1,155,634 577,817 1,733,452 866,726 433,363 1,300,090 650,045 1,950,136 975,068 487,534 243,767 731,302 365,651 1,096,954 548,477 1,645,432 822,716 411,358 205,679 617,038 308,519 925,558 462,779 1,388,338 694,169 2,082,508 1,041,254 520,627 1,561,882 780,941 2,342,824 1,171,412 585,706 292,853 878,560 439,280 219,640 109,820 54,910 27,455 82,366 41,183 123,550 61,775

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