λ
Sigma Notebook

8,422,828

22 × 37 × 56911
Deficient Even Composite

8,422,828 is even and not a perfect square. Its factorization is 2^2 × 37 × 56911 and its 12 divisors sum to 15,138,592.

Prime Factor Structure

Factorization String 2^2 × 37 × 56911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,138,592
Proper Divisor Sum 6,715,764
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8422811 ← → #8422831

Radix Representation

Decimal 8422828
Binary 100000001000010110101100 (24 bits)
Octal 0o40102654
Hexadecimal 0x8085AC

Divisor Catalog (12)

1 2 4 37 74 148 56,911 113,822 227,644 2,105,707 4,211,414 8,422,828

Collatz Trajectory (155 steps to reach 1)

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

8,422,828 4,211,414 2,105,707 6,317,122 3,158,561 9,475,684 4,737,842 2,368,921 7,106,764 3,553,382 1,776,691 5,330,074 2,665,037 7,995,112 3,997,556 1,998,778 999,389 2,998,168 1,499,084 749,542 374,771 1,124,314 562,157 1,686,472 843,236 421,618 210,809 632,428 316,214 158,107 474,322 237,161 711,484 355,742 177,871 533,614 266,807 800,422 400,211 1,200,634 600,317 1,800,952 900,476 450,238 225,119 675,358 337,679 1,013,038 506,519 1,519,558 759,779 2,279,338 1,139,669 3,419,008 1,709,504 854,752 427,376 213,688 106,844 53,422

More profiles

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