λ
Sigma Notebook

2,225,202

2 × 3 × 7 × 52981
Abundant Even Composite

2,225,202 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 52981 and its 16 divisors sum to 5,086,272.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 52981
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,086,272
Proper Divisor Sum 2,861,070
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2225183 ← → #2225203

Radix Representation

Decimal 2225202
Binary 1000011111010000110010 (22 bits)
Octal 0o10372062
Hexadecimal 0x21F432

Divisor Catalog (16)

1 2 3 6 7 14 21 42 52,981 105,962 158,943 317,886 370,867 741,734 1,112,601 2,225,202

Collatz Trajectory (91 steps to reach 1)

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

2,225,202 1,112,601 3,337,804 1,668,902 834,451 2,503,354 1,251,677 3,755,032 1,877,516 938,758 469,379 1,408,138 704,069 2,112,208 1,056,104 528,052 264,026 132,013 396,040 198,020 99,010 49,505 148,516 74,258 37,129 111,388 55,694 27,847 83,542 41,771 125,314 62,657 187,972 93,986 46,993 140,980 70,490 35,245 105,736 52,868 26,434 13,217 39,652 19,826 9,913 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353

More profiles

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