λ
Sigma Notebook

4,491,226

2 × 47 × 47779
Deficient Even Composite

4,491,226 is even and not a perfect square. Its factorization is 2 × 47 × 47779 and its 8 divisors sum to 6,880,320.

Prime Factor Structure

Factorization String 2 × 47 × 47779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,880,320
Proper Divisor Sum 2,389,094
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4491217 ← → #4491241

Radix Representation

Decimal 4491226
Binary 10001001000011111011010 (23 bits)
Octal 0o21103732
Hexadecimal 0x4487DA

Divisor Catalog (8)

1 2 47 94 47,779 95,558 2,245,613 4,491,226

Collatz Trajectory (118 steps to reach 1)

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

4,491,226 2,245,613 6,736,840 3,368,420 1,684,210 842,105 2,526,316 1,263,158 631,579 1,894,738 947,369 2,842,108 1,421,054 710,527 2,131,582 1,065,791 3,197,374 1,598,687 4,796,062 2,398,031 7,194,094 3,597,047 10,791,142 5,395,571 16,186,714 8,093,357 24,280,072 12,140,036 6,070,018 3,035,009 9,105,028 4,552,514 2,276,257 6,828,772 3,414,386 1,707,193 5,121,580 2,560,790 1,280,395 3,841,186 1,920,593 5,761,780 2,880,890 1,440,445 4,321,336 2,160,668 1,080,334 540,167 1,620,502 810,251 2,430,754 1,215,377 3,646,132 1,823,066 911,533 2,734,600 1,367,300 683,650 341,825 1,025,476

More profiles

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