4,204,100

2² × 5² × 17 × 2473

Starting at 4,204,100, the Collatz iteration reaches 1 after 128 steps. The first transition is 2102050; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 2473

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,663,444

Proper Divisor Sum 5,459,344

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #4204097 ← → #4204121

Radix Representation

Decimal	4204100
Binary	10000000010011001000100 (23 bits)
Octal	0o20023104
Hexadecimal	0x402644

Divisor Catalog (36)

1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1,700 2,473 4,946 9,892 12,365 24,730 42,041 49,460 61,825 84,082 123,650 168,164 210,205 247,300 420,410 840,820 1,051,025 2,102,050 4,204,100

Collatz Trajectory (128 steps to reach 1)

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

4,204,100 2,102,050 1,051,025 3,153,076 1,576,538 788,269 2,364,808 1,182,404 591,202 295,601 886,804 443,402 221,701 665,104 332,552 166,276 83,138 41,569 124,708 62,354 31,177 93,532 46,766 23,383 70,150 35,075 105,226 52,613 157,840 78,920 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891 26,674

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