4,129,212

2² × 3 × 61 × 5641

4,129,212 factors as 2^2 × 3 × 61 × 5641. Its 24 positive divisors give a proper-divisor sum of 5,665,300, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 61 × 5641

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,794,512

Proper Divisor Sum 5,665,300

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4129199 ← → #4129241

Radix Representation

Decimal	4129212
Binary	1111110000000110111100 (22 bits)
Octal	0o17600674
Hexadecimal	0x3F01BC

Divisor Catalog (24)

Collatz Trajectory (136 steps to reach 1)

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

4,129,212 2,064,606 1,032,303 3,096,910 1,548,455 4,645,366 2,322,683 6,968,050 3,484,025 10,452,076 5,226,038 2,613,019 7,839,058 3,919,529 11,758,588 5,879,294 2,939,647 8,818,942 4,409,471 13,228,414 6,614,207 19,842,622 9,921,311 29,763,934 14,881,967 44,645,902 22,322,951 66,968,854 33,484,427 100,453,282 50,226,641 150,679,924 75,339,962 37,669,981 113,009,944 56,504,972 28,252,486 14,126,243 42,378,730 21,189,365 63,568,096 31,784,048 15,892,024 7,946,012 3,973,006 1,986,503 5,959,510 2,979,755 8,939,266 4,469,633 13,408,900 6,704,450 3,352,225 10,056,676 5,028,338 2,514,169 7,542,508 3,771,254 1,885,627 5,656,882

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