4,055,728

2⁴ × 23 × 103 × 107

Starting at 4,055,728, the Collatz iteration reaches 1 after 110 steps. The first transition is 2027864; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 23 × 103 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,356,608

Proper Divisor Sum 4,300,880

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4055687 ← → #4055747

Radix Representation

Decimal	4055728
Binary	1111011110001010110000 (22 bits)
Octal	0o17361260
Hexadecimal	0x3DE2B0

Divisor Catalog (40)

1 2 4 8 16 23 46 92 103 107 184 206 214 368 412 428 824 856 1,648 1,712 2,369 2,461 4,738 4,922 9,476 9,844 11,021 18,952 19,688 22,042 37,904 39,376 44,084 88,168 176,336 253,483 506,966 1,013,932 2,027,864 4,055,728

Collatz Trajectory (110 steps to reach 1)

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

4,055,728 2,027,864 1,013,932 506,966 253,483 760,450 380,225 1,140,676 570,338 285,169 855,508 427,754 213,877 641,632 320,816 160,408 80,204 40,102 20,051 60,154 30,077 90,232 45,116 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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