4,130,076

2² × 3 × 344173

4,130,076 factors as 2^2 × 3 × 344173. Its 12 positive divisors give a proper-divisor sum of 5,506,796, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 344173

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,636,872

Proper Divisor Sum 5,506,796

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4130039 ← → #4130111

Radix Representation

Decimal	4130076
Binary	1111110000010100011100 (22 bits)
Octal	0o17602434
Hexadecimal	0x3F051C

Divisor Catalog (12)

1 2 3 4 6 12 344,173 688,346 1,032,519 1,376,692 2,065,038 4,130,076

Collatz Trajectory (136 steps to reach 1)

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

4,130,076 2,065,038 1,032,519 3,097,558 1,548,779 4,646,338 2,323,169 6,969,508 3,484,754 1,742,377 5,227,132 2,613,566 1,306,783 3,920,350 1,960,175 5,880,526 2,940,263 8,820,790 4,410,395 13,231,186 6,615,593 19,846,780 9,923,390 4,961,695 14,885,086 7,442,543 22,327,630 11,163,815 33,491,446 16,745,723 50,237,170 25,118,585 75,355,756 37,677,878 18,838,939 56,516,818 28,258,409 84,775,228 42,387,614 21,193,807 63,581,422 31,790,711 95,372,134 47,686,067 143,058,202 71,529,101 214,587,304 107,293,652 53,646,826 26,823,413 80,470,240 40,235,120 20,117,560 10,058,780 5,029,390 2,514,695 7,544,086 3,772,043 11,316,130 5,658,065

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