λ
Prime Ledger

4,687,746

2 × 3 × 7 × 239 × 467
Abundant Even Composite

4,687,746 has the prime decomposition 2 × 3 × 7 × 239 × 467. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 239 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,782,720
Proper Divisor Sum 6,094,974
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4687741 ← → #4687747

Radix Representation

Decimal 4687746
Binary 10001111000011110000010 (23 bits)
Octal 0o21703602
Hexadecimal 0x478782

Divisor Catalog (32)

1 2 3 6 7 14 21 42 239 467 478 717 934 1,401 1,434 1,673 2,802 3,269 3,346 5,019 6,538 9,807 10,038 19,614 111,613 223,226 334,839 669,678 781,291 1,562,582 2,343,873 4,687,746

Collatz Trajectory (74 steps to reach 1)

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

4,687,746 2,343,873 7,031,620 3,515,810 1,757,905 5,273,716 2,636,858 1,318,429 3,955,288 1,977,644 988,822 494,411 1,483,234 741,617 2,224,852 1,112,426 556,213 1,668,640 834,320 417,160 208,580 104,290 52,145 156,436 78,218 39,109 117,328 58,664 29,332 14,666 7,333 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23

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