3,272,128

2⁶ × 29 × 41 × 43

Starting at 3,272,128, the Collatz iteration reaches 1 after 45 steps. The first transition is 1636064; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 29 × 41 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 7,040,880

Proper Divisor Sum 3,768,752

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3272119 ← → #3272147

Radix Representation

Decimal	3272128
Binary	1100011110110111000000 (22 bits)
Octal	0o14366700
Hexadecimal	0x31EDC0

Divisor Catalog (56)

1 2 4 8 16 29 32 41 43 58 64 82 86 116 164 172 232 328 344 464 656 688 928 1,189 1,247 1,312 1,376 1,763 1,856 2,378 2,494 2,624 2,752 3,526 4,756 4,988 7,052 9,512 9,976 14,104 19,024 19,952 28,208 38,048 39,904 51,127 56,416 76,096 79,808 102,254 112,832 204,508 409,016 818,032 1,636,064 3,272,128

Collatz Trajectory (45 steps to reach 1)

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

3,272,128 1,636,064 818,032 409,016 204,508 102,254 51,127 153,382 76,691 230,074 115,037 345,112 172,556 86,278 43,139 129,418 64,709 194,128 97,064 48,532 24,266 12,133 36,400 18,200 9,100 4,550 2,275 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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