4,128,908

2² × 7 × 167 × 883

4,128,908 factors as 2^2 × 7 × 167 × 883. Its 24 positive divisors give a proper-divisor sum of 4,187,764, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 167 × 883

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,316,672

Proper Divisor Sum 4,187,764

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4128899 ← → #4128911

Radix Representation

Decimal	4128908
Binary	1111110000000010001100 (22 bits)
Octal	0o17600214
Hexadecimal	0x3F008C

Divisor Catalog (24)

Collatz Trajectory (105 steps to reach 1)

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

4,128,908 2,064,454 1,032,227 3,096,682 1,548,341 4,645,024 2,322,512 1,161,256 580,628 290,314 145,157 435,472 217,736 108,868 54,434 27,217 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242

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