8,563,200

2⁹ × 3 × 5² × 223

Prime Factor Structure

Factorization String 2^9 × 3 × 5^2 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 28,414,848

Proper Divisor Sum 19,851,648

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8563187 ← → #8563237

Radix Representation

Decimal	8563200
Binary	100000101010101000000000 (24 bits)
Octal	0o40525000
Hexadecimal	0x82AA00

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 223 240 256 300 320 384 400 446 480 512 600 640 669 768 800 892 960 1,115 1,200 1,280 1,338 1,536 1,600 1,784 1,920 2,230 2,400 2,560 2,676

Collatz Trajectory (44 steps to reach 1)

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

8,563,200 4,281,600 2,140,800 1,070,400 535,200 267,600 133,800 66,900 33,450 16,725 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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