38,280

2³ × 3 × 5 × 11 × 29

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 129,600

Proper Divisor Sum 91,320

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #38273 ← → #38281

Radix Representation

Decimal	38280
Binary	1001010110001000 (16 bits)
Octal	0o112610
Hexadecimal	0x9588

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1,160 1,276 1,320 1,595 1,740 1,914 2,552 3,190 3,480 3,828 4,785 6,380 7,656

Collatz Trajectory (75 steps to reach 1)

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

38,280 19,140 9,570 4,785 14,356 7,178 3,589 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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