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3,976,590

2 × 3 × 5 × 41 × 53 × 61
Abundant Even Composite

3,976,590 factors as 2 × 3 × 5 × 41 × 53 × 61. Its 64 positive divisors give a proper-divisor sum of 6,147,762, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 41 × 53 × 61
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,124,352
Proper Divisor Sum 6,147,762
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3976579 ← → #3976601

Radix Representation

Decimal 3976590
Binary 1111001010110110001110 (22 bits)
Octal 0o17126616
Hexadecimal 0x3CAD8E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 30 41 53 61 82 106 122 123 159 183 205 246 265 305 318 366 410 530 610 615 795 915 1,230 1,590 1,830 2,173 2,501 3,233 4,346 5,002 6,466 6,519 7,503 9,699 10,865 12,505 13,038 15,006 16,165 19,398 21,730 25,010 32,330 32,595 37,515 48,495 65,190 75,030 96,990 132,553 265,106 397,659 662,765

Collatz Trajectory (66 steps to reach 1)

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

3,976,590 1,988,295 5,964,886 2,982,443 8,947,330 4,473,665 13,420,996 6,710,498 3,355,249 10,065,748 5,032,874 2,516,437 7,549,312 3,774,656 1,887,328 943,664 471,832 235,916 117,958 58,979 176,938 88,469 265,408 132,704 66,352 33,176 16,588 8,294 4,147 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20

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