449,280

2⁸ × 3³ × 5 × 13

Prime Factor Structure

Factorization String 2^8 × 3^3 × 5 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,716,960

Proper Divisor Sum 1,267,680

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #449269 ← → #449287

Radix Representation

Decimal	449280
Binary	1101101101100000000 (19 bits)
Octal	0o1555400
Hexadecimal	0x6DB00

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 156 160 180 192 195 208 216 234 240 256 260 270 288 312 320 351 360

Collatz Trajectory (50 steps to reach 1)

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

449,280 224,640 112,320 56,160 28,080 14,040 7,020 3,510 1,755 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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