λ
Harmonic Matrix

9,004,884

22 × 3 × 7 × 107201
Abundant Even Composite

9,004,884 has digital root 6. The neighboring primes are 9004843 and 9004889; its proper-divisor sum differs from the starting integer by 6,003,480.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 107201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,013,248
Proper Divisor Sum 15,008,364
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9004843 ← → #9004889

Radix Representation

Decimal 9004884
Binary 100010010110011101010100 (24 bits)
Octal 0o42263524
Hexadecimal 0x896754

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 107,201 214,402 321,603 428,804 643,206 750,407 1,286,412 1,500,814 2,251,221 3,001,628 4,502,442 9,004,884

Collatz Trajectory (93 steps to reach 1)

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

9,004,884 4,502,442 2,251,221 6,753,664 3,376,832 1,688,416 844,208 422,104 211,052 105,526 52,763 158,290 79,145 237,436 118,718 59,359 178,078 89,039 267,118 133,559 400,678 200,339 601,018 300,509 901,528 450,764 225,382 112,691 338,074 169,037 507,112 253,556 126,778 63,389 190,168 95,084 47,542 23,771 71,314 35,657 106,972 53,486 26,743 80,230 40,115 120,346 60,173 180,520 90,260 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521

More profiles

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