4,404,688

2⁴ × 61 × 4513

Starting at 4,404,688, the Collatz iteration reaches 1 after 136 steps. The first transition is 2202344; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 61 × 4513

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,675,908

Proper Divisor Sum 4,271,220

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4404679 ← → #4404689

Radix Representation

Decimal	4404688
Binary	10000110011010111010000 (23 bits)
Octal	0o20632720
Hexadecimal	0x4335D0

Divisor Catalog (20)

1 2 4 8 16 61 122 244 488 976 4,513 9,026 18,052 36,104 72,208 275,293 550,586 1,101,172 2,202,344 4,404,688

Collatz Trajectory (136 steps to reach 1)

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

4,404,688 2,202,344 1,101,172 550,586 275,293 825,880 412,940 206,470 103,235 309,706 154,853 464,560 232,280 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998 24,499 73,498 36,749 110,248 55,124 27,562 13,781 41,344 20,672 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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