λ
Harmonic Matrix

9,009,388

22 × 17 × 132491
Deficient Even Composite

9,009,388 has digital root 1. The neighboring primes are 9009379 and 9009391; its proper-divisor sum differs from the starting integer by -1,324,784.

Prime Factor Structure

Factorization String 2^2 × 17 × 132491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,693,992
Proper Divisor Sum 7,684,604
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9009379 ← → #9009391

Radix Representation

Decimal 9009388
Binary 100010010111100011101100 (24 bits)
Octal 0o42274354
Hexadecimal 0x8978EC

Divisor Catalog (12)

1 2 4 17 34 68 132,491 264,982 529,964 2,252,347 4,504,694 9,009,388

Collatz Trajectory (88 steps to reach 1)

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

9,009,388 4,504,694 2,252,347 6,757,042 3,378,521 10,135,564 5,067,782 2,533,891 7,601,674 3,800,837 11,402,512 5,701,256 2,850,628 1,425,314 712,657 2,137,972 1,068,986 534,493 1,603,480 801,740 400,870 200,435 601,306 300,653 901,960 450,980 225,490 112,745 338,236 169,118 84,559 253,678 126,839 380,518 190,259 570,778 285,389 856,168 428,084 214,042 107,021 321,064 160,532 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588

More profiles

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