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4,350,100

22 × 52 × 41 × 1061
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 41 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,679,068
Proper Divisor Sum 5,328,968
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #4350091 ← → #4350103

Radix Representation

Decimal 4350100
Binary 10000100110000010010100 (23 bits)
Octal 0o20460224
Hexadecimal 0x426094

Divisor Catalog (36)

1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1,025 1,061 2,050 2,122 4,100 4,244 5,305 10,610 21,220 26,525 43,501 53,050 87,002 106,100 174,004 217,505 435,010 870,020 1,087,525 2,175,050 4,350,100

Collatz Trajectory (118 steps to reach 1)

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

4,350,100 2,175,050 1,087,525 3,262,576 1,631,288 815,644 407,822 203,911 611,734 305,867 917,602 458,801 1,376,404 688,202 344,101 1,032,304 516,152 258,076 129,038 64,519 193,558 96,779 290,338 145,169 435,508 217,754 108,877 326,632 163,316 81,658 40,829 122,488 61,244 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767

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