486,486

2 × 3⁵ × 7 × 11 × 13

Prime Factor Structure

Factorization String 2 × 3^5 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,467,648

Proper Divisor Sum 981,162

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #486481 ← → #486491

Radix Representation

Decimal	486486
Binary	1110110110001010110 (19 bits)
Octal	0o1666126
Hexadecimal	0x76C56

Divisor Catalog (60 of 96)

1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 182 189 198 231 234 243 273 286 297 351 378 429 462 486 546 567 594 693 702 819 858 891 1,001 1,053 1,134 1,287 1,386 1,638 1,701 1,782

Collatz Trajectory (89 steps to reach 1)

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

486,486 243,243 729,730 364,865 1,094,596 547,298 273,649 820,948 410,474 205,237 615,712 307,856 153,928 76,964 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

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