λ
Harmonic Matrix

9,066,822

2 × 3 × 41 × 36857
Abundant Even Composite

9,066,822 has digital root 6. The neighboring primes are 9066809 and 9066877; its proper-divisor sum differs from the starting integer by 442,788.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 36857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,576,432
Proper Divisor Sum 9,509,610
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9066809 ← → #9066877

Radix Representation

Decimal 9066822
Binary 100010100101100101000110 (24 bits)
Octal 0o42454506
Hexadecimal 0x8A5946

Divisor Catalog (16)

1 2 3 6 41 82 123 246 36,857 73,714 110,571 221,142 1,511,137 3,022,274 4,533,411 9,066,822

Collatz Trajectory (212 steps to reach 1)

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

9,066,822 4,533,411 13,600,234 6,800,117 20,400,352 10,200,176 5,100,088 2,550,044 1,275,022 637,511 1,912,534 956,267 2,868,802 1,434,401 4,303,204 2,151,602 1,075,801 3,227,404 1,613,702 806,851 2,420,554 1,210,277 3,630,832 1,815,416 907,708 453,854 226,927 680,782 340,391 1,021,174 510,587 1,531,762 765,881 2,297,644 1,148,822 574,411 1,723,234 861,617 2,584,852 1,292,426 646,213 1,938,640 969,320 484,660 242,330 121,165 363,496 181,748 90,874 45,437 136,312 68,156 34,078 17,039 51,118 25,559 76,678 38,339 115,018 57,509

More profiles

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