4,381,121

17 × 257713

Starting at 4,381,121, the Collatz iteration reaches 1 after 198 steps. The first transition is 13143364; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 257713

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,638,852

Proper Divisor Sum 257,731

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4381093 ← → #4381127

Radix Representation

Decimal	4381121
Binary	10000101101100111000001 (23 bits)
Octal	0o20554701
Hexadecimal	0x42D9C1

Divisor Catalog (4)

1 17 257,713 4,381,121

Collatz Trajectory (198 steps to reach 1)

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

4,381,121 13,143,364 6,571,682 3,285,841 9,857,524 4,928,762 2,464,381 7,393,144 3,696,572 1,848,286 924,143 2,772,430 1,386,215 4,158,646 2,079,323 6,237,970 3,118,985 9,356,956 4,678,478 2,339,239 7,017,718 3,508,859 10,526,578 5,263,289 15,789,868 7,894,934 3,947,467 11,842,402 5,921,201 17,763,604 8,881,802 4,440,901 13,322,704 6,661,352 3,330,676 1,665,338 832,669 2,498,008 1,249,004 624,502 312,251 936,754 468,377 1,405,132 702,566 351,283 1,053,850 526,925 1,580,776 790,388 395,194 197,597 592,792 296,396 148,198 74,099 222,298 111,149 333,448 166,724

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