42,600

2³ × 3 × 5² × 71

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 133,920

Proper Divisor Sum 91,320

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #42589 ← → #42611

Radix Representation

Decimal	42600
Binary	1010011001101000 (16 bits)
Octal	0o123150
Hexadecimal	0xA668

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1,065 1,420 1,704 1,775 2,130 2,840 3,550 4,260 5,325 7,100 8,520 10,650 14,200 21,300 42,600

Collatz Trajectory (57 steps to reach 1)

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

42,600 21,300 10,650 5,325 15,976 7,988 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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