10,072,755

3⁴ × 5 × 7 × 11 × 17 × 19

10,072,755 factors as 3^4 × 5 × 7 × 11 × 17 × 19. Its 160 positive divisors give a proper-divisor sum of 15,017,805, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 11 × 17 × 19

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 25,090,560

Proper Divisor Sum 15,017,805

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10072729 ← → #10072817

Radix Representation

Decimal	10072755
Binary	100110011011001010110011 (24 bits)
Octal	0o46331263
Hexadecimal	0x99B2B3

Divisor Catalog (60 of 160)

1 3 5 7 9 11 15 17 19 21 27 33 35 45 51 55 57 63 77 81 85 95 99 105 119 133 135 153 165 171 187 189 209 231 255 285 297 315 323 357 385 399 405 459 495 513 561 567 595 627 665 693 765 855 891 935 945 969 1,045 1,071

Collatz Trajectory (114 steps to reach 1)

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

10,072,755 30,218,266 15,109,133 45,327,400 22,663,700 11,331,850 5,665,925 16,997,776 8,498,888 4,249,444 2,124,722 1,062,361 3,187,084 1,593,542 796,771 2,390,314 1,195,157 3,585,472 1,792,736 896,368 448,184 224,092 112,046 56,023 168,070 84,035 252,106 126,053 378,160 189,080 94,540 47,270 23,635 70,906 35,453 106,360 53,180 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620 67,310 33,655 100,966 50,483 151,450 75,725 227,176 113,588 56,794 28,397 85,192 42,596 21,298 10,649

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