4,032,177

3 × 47 × 28597

Starting at 4,032,177, the Collatz iteration reaches 1 after 92 steps. The first transition is 12096532; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 28597

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,490,816

Proper Divisor Sum 1,458,639

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4032173 ← → #4032191

Radix Representation

Decimal	4032177
Binary	1111011000011010110001 (22 bits)
Octal	0o17303261
Hexadecimal	0x3D86B1

Divisor Catalog (8)

1 3 47 141 28,597 85,791 1,344,059 4,032,177

Collatz Trajectory (92 steps to reach 1)

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

4,032,177 12,096,532 6,048,266 3,024,133 9,072,400 4,536,200 2,268,100 1,134,050 567,025 1,701,076 850,538 425,269 1,275,808 637,904 318,952 159,476 79,738 39,869 119,608 59,804 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264

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