4,076,540

2² × 5 × 13 × 15679

4,076,540 factors as 2^2 × 5 × 13 × 15679. Its 24 positive divisors give a proper-divisor sum of 5,143,300, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 15679

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,219,840

Proper Divisor Sum 5,143,300

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4076537 ← → #4076557

Radix Representation

Decimal	4076540
Binary	1111100011001111111100 (22 bits)
Octal	0o17431774
Hexadecimal	0x3E33FC

Divisor Catalog (24)

Collatz Trajectory (141 steps to reach 1)

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

4,076,540 2,038,270 1,019,135 3,057,406 1,528,703 4,586,110 2,293,055 6,879,166 3,439,583 10,318,750 5,159,375 15,478,126 7,739,063 23,217,190 11,608,595 34,825,786 17,412,893 52,238,680 26,119,340 13,059,670 6,529,835 19,589,506 9,794,753 29,384,260 14,692,130 7,346,065 22,038,196 11,019,098 5,509,549 16,528,648 8,264,324 4,132,162 2,066,081 6,198,244 3,099,122 1,549,561 4,648,684 2,324,342 1,162,171 3,486,514 1,743,257 5,229,772 2,614,886 1,307,443 3,922,330 1,961,165 5,883,496 2,941,748 1,470,874 735,437 2,206,312 1,103,156 551,578 275,789 827,368 413,684 206,842 103,421 310,264 155,132

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