λ
Sigma Notebook

884,226

2 × 3 × 7 × 37 × 569
Abundant Even Composite

884,226 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 37 × 569 and its 32 divisors sum to 2,079,360.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 37 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,079,360
Proper Divisor Sum 1,195,134
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #884201 ← → #884227

Radix Representation

Decimal 884226
Binary 11010111111000000010 (20 bits)
Octal 0o3277002
Hexadecimal 0xD7E02

Divisor Catalog (32)

1 2 3 6 7 14 21 37 42 74 111 222 259 518 569 777 1,138 1,554 1,707 3,414 3,983 7,966 11,949 21,053 23,898 42,106 63,159 126,318 147,371 294,742 442,113 884,226

Collatz Trajectory (126 steps to reach 1)

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

884,226 442,113 1,326,340 663,170 331,585 994,756 497,378 248,689 746,068 373,034 186,517 559,552 279,776 139,888 69,944 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615

More profiles

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