λ
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3,668,024

23 × 41 × 53 × 211
Deficient Even Composite

3,668,024 factors as 2^3 × 41 × 53 × 211. Its 32 positive divisors give a proper-divisor sum of 3,544,216, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 53 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,212,240
Proper Divisor Sum 3,544,216
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3668009 ← → #3668033

Radix Representation

Decimal 3668024
Binary 1101111111100000111000 (22 bits)
Octal 0o15774070
Hexadecimal 0x37F838

Divisor Catalog (32)

1 2 4 8 41 53 82 106 164 211 212 328 422 424 844 1,688 2,173 4,346 8,651 8,692 11,183 17,302 17,384 22,366 34,604 44,732 69,208 89,464 458,503 917,006 1,834,012 3,668,024

Collatz Trajectory (66 steps to reach 1)

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

3,668,024 1,834,012 917,006 458,503 1,375,510 687,755 2,063,266 1,031,633 3,094,900 1,547,450 773,725 2,321,176 1,160,588 580,294 290,147 870,442 435,221 1,305,664 652,832 326,416 163,208 81,604 40,802 20,401 61,204 30,602 15,301 45,904 22,952 11,476 5,738 2,869 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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