4,031,080

2³ × 5 × 179 × 563

4,031,080 factors as 2^3 × 5 × 179 × 563. Its 32 positive divisors give a proper-divisor sum of 5,105,720, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 179 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,136,800

Proper Divisor Sum 5,105,720

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4031047 ← → #4031081

Radix Representation

Decimal	4031080
Binary	1111011000001001101000 (22 bits)
Octal	0o17301150
Hexadecimal	0x3D8268

Divisor Catalog (32)

1 2 4 5 8 10 20 40 179 358 563 716 895 1,126 1,432 1,790 2,252 2,815 3,580 4,504 5,630 7,160 11,260 22,520 100,777 201,554 403,108 503,885 806,216 1,007,770 2,015,540 4,031,080

Collatz Trajectory (123 steps to reach 1)

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

4,031,080 2,015,540 1,007,770 503,885 1,511,656 755,828 377,914 188,957 566,872 283,436 141,718 70,859 212,578 106,289 318,868 159,434 79,717 239,152 119,576 59,788 29,894 14,947 44,842 22,421 67,264 33,632 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268

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