λ
Zalai Atlas

2,237,202

2 × 32 × 11 × 11299
Abundant Even Composite

2,237,202 has the prime decomposition 2 × 3^2 × 11 × 11299. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 11299
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,288,400
Proper Divisor Sum 3,051,198
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2237189 ← → #2237219

Radix Representation

Decimal 2237202
Binary 1000100010001100010010 (22 bits)
Octal 0o10421422
Hexadecimal 0x222312

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 11,299 22,598 33,897 67,794 101,691 124,289 203,382 248,578 372,867 745,734 1,118,601 2,237,202

Collatz Trajectory (117 steps to reach 1)

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

2,237,202 1,118,601 3,355,804 1,677,902 838,951 2,516,854 1,258,427 3,775,282 1,887,641 5,662,924 2,831,462 1,415,731 4,247,194 2,123,597 6,370,792 3,185,396 1,592,698 796,349 2,389,048 1,194,524 597,262 298,631 895,894 447,947 1,343,842 671,921 2,015,764 1,007,882 503,941 1,511,824 755,912 377,956 188,978 94,489 283,468 141,734 70,867 212,602 106,301 318,904 159,452 79,726 39,863 119,590 59,795 179,386 89,693 269,080 134,540 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365

More profiles

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