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4,580,800

26 × 52 × 7 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^2 × 7 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 12,913,360
Proper Divisor Sum 8,332,560
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4580791 ← → #4580809

Radix Representation

Decimal 4580800
Binary 10001011110010111000000 (23 bits)
Octal 0o21362700
Hexadecimal 0x45E5C0

Divisor Catalog (60 of 84)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 409 448 560 700 800 818 1,120 1,400 1,600 1,636 2,045 2,240 2,800 2,863 3,272 4,090 5,600 5,726 6,544 8,180 10,225 11,200 11,452 13,088 14,315 16,360 20,450 22,904 26,176

Collatz Trajectory (56 steps to reach 1)

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

4,580,800 2,290,400 1,145,200 572,600 286,300 143,150 71,575 214,726 107,363 322,090 161,045 483,136 241,568 120,784 60,392 30,196 15,098 7,549 22,648 11,324 5,662 2,831 8,494 4,247 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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