4,348,828

2² × 11 × 98837

Starting at 4,348,828, the Collatz iteration reaches 1 after 149 steps. The first transition is 2174414; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 98837

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,302,392

Proper Divisor Sum 3,953,564

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4348823 ← → #4348843

Radix Representation

Decimal	4348828
Binary	10000100101101110011100 (23 bits)
Octal	0o20455634
Hexadecimal	0x425B9C

Divisor Catalog (12)

1 2 4 11 22 44 98,837 197,674 395,348 1,087,207 2,174,414 4,348,828

Collatz Trajectory (149 steps to reach 1)

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

4,348,828 2,174,414 1,087,207 3,261,622 1,630,811 4,892,434 2,446,217 7,338,652 3,669,326 1,834,663 5,503,990 2,751,995 8,255,986 4,127,993 12,383,980 6,191,990 3,095,995 9,287,986 4,643,993 13,931,980 6,965,990 3,482,995 10,448,986 5,224,493 15,673,480 7,836,740 3,918,370 1,959,185 5,877,556 2,938,778 1,469,389 4,408,168 2,204,084 1,102,042 551,021 1,653,064 826,532 413,266 206,633 619,900 309,950 154,975 464,926 232,463 697,390 348,695 1,046,086 523,043 1,569,130 784,565 2,353,696 1,176,848 588,424 294,212 147,106 73,553 220,660 110,330 55,165 165,496

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