λ
Zalai Atlas

3,602,328

23 × 3 × 150097
Abundant Even Composite

3,602,328 has the prime decomposition 2^3 × 3 × 150097. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 150097
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,005,880
Proper Divisor Sum 5,403,552
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3602309 ← → #3602353

Radix Representation

Decimal 3602328
Binary 1101101111011110011000 (22 bits)
Octal 0o15573630
Hexadecimal 0x36F798

Divisor Catalog (16)

1 2 3 4 6 8 12 24 150,097 300,194 450,291 600,388 900,582 1,200,776 1,801,164 3,602,328

Collatz Trajectory (89 steps to reach 1)

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

3,602,328 1,801,164 900,582 450,291 1,350,874 675,437 2,026,312 1,013,156 506,578 253,289 759,868 379,934 189,967 569,902 284,951 854,854 427,427 1,282,282 641,141 1,923,424 961,712 480,856 240,428 120,214 60,107 180,322 90,161 270,484 135,242 67,621 202,864 101,432 50,716 25,358 12,679 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814

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