λ
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4,817,596

22 × 7 × 17 × 29 × 349
Abundant Even Composite

4,817,596 factors as 2^2 × 7 × 17 × 29 × 349. Its 48 positive divisors give a proper-divisor sum of 5,766,404, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 29 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,584,000
Proper Divisor Sum 5,766,404
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4817581 ← → #4817627

Radix Representation

Decimal 4817596
Binary 10010011000001010111100 (23 bits)
Octal 0o22301274
Hexadecimal 0x4982BC

Divisor Catalog (48)

1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 349 406 476 493 698 812 986 1,396 1,972 2,443 3,451 4,886 5,933 6,902 9,772 10,121 11,866 13,804 20,242 23,732 40,484 41,531 70,847 83,062 141,694 166,124 172,057 283,388 344,114 688,228 1,204,399 2,408,798 4,817,596

Collatz Trajectory (118 steps to reach 1)

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

4,817,596 2,408,798 1,204,399 3,613,198 1,806,599 5,419,798 2,709,899 8,129,698 4,064,849 12,194,548 6,097,274 3,048,637 9,145,912 4,572,956 2,286,478 1,143,239 3,429,718 1,714,859 5,144,578 2,572,289 7,716,868 3,858,434 1,929,217 5,787,652 2,893,826 1,446,913 4,340,740 2,170,370 1,085,185 3,255,556 1,627,778 813,889 2,441,668 1,220,834 610,417 1,831,252 915,626 457,813 1,373,440 686,720 343,360 171,680 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850

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