λ
Sigma Notebook

1,056,220

22 × 5 × 11 × 4801
Abundant Even Composite

1,056,220 is even and not a perfect square. Its factorization is 2^2 × 5 × 11 × 4801 and its 24 divisors sum to 2,420,208.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 4801
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,420,208
Proper Divisor Sum 1,363,988
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1056217 ← → #1056241

Radix Representation

Decimal 1056220
Binary 100000001110111011100 (21 bits)
Octal 0o4016734
Hexadecimal 0x101DDC

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 4,801 9,602 19,204 24,005 48,010 52,811 96,020 105,622 211,244 264,055 528,110 1,056,220

Collatz Trajectory (77 steps to reach 1)

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

1,056,220 528,110 264,055 792,166 396,083 1,188,250 594,125 1,782,376 891,188 445,594 222,797 668,392 334,196 167,098 83,549 250,648 125,324 62,662 31,331 93,994 46,997 140,992 70,496 35,248 17,624 8,812 4,406 2,203 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120

More profiles

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