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3,482,200

23 × 52 × 23 × 757
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 23 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,459,280
Proper Divisor Sum 4,977,080
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3482197 ← → #3482201

Radix Representation

Decimal 3482200
Binary 1101010010001001011000 (22 bits)
Octal 0o15221130
Hexadecimal 0x352258

Divisor Catalog (48)

1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 757 920 1,150 1,514 2,300 3,028 3,785 4,600 6,056 7,570 15,140 17,411 18,925 30,280 34,822 37,850 69,644 75,700 87,055 139,288 151,400 174,110 348,220 435,275 696,440 870,550 1,741,100 3,482,200

Collatz Trajectory (53 steps to reach 1)

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

3,482,200 1,741,100 870,550 435,275 1,305,826 652,913 1,958,740 979,370 489,685 1,469,056 734,528 367,264 183,632 91,816 45,908 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 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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