λ
Harmonic Matrix

9,004,876

22 × 251 × 8969
Deficient Even Composite

9,004,876 has digital root 7. The neighboring primes are 9004843 and 9004889; its proper-divisor sum differs from the starting integer by -2,186,672.

Prime Factor Structure

Factorization String 2^2 × 251 × 8969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,823,080
Proper Divisor Sum 6,818,204
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9004843 ← → #9004889

Radix Representation

Decimal 9004876
Binary 100010010110011101001100 (24 bits)
Octal 0o42263514
Hexadecimal 0x89674C

Divisor Catalog (12)

1 2 4 251 502 1,004 8,969 17,938 35,876 2,251,219 4,502,438 9,004,876

Collatz Trajectory (362 steps to reach 1)

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

9,004,876 4,502,438 2,251,219 6,753,658 3,376,829 10,130,488 5,065,244 2,532,622 1,266,311 3,798,934 1,899,467 5,698,402 2,849,201 8,547,604 4,273,802 2,136,901 6,410,704 3,205,352 1,602,676 801,338 400,669 1,202,008 601,004 300,502 150,251 450,754 225,377 676,132 338,066 169,033 507,100 253,550 126,775 380,326 190,163 570,490 285,245 855,736 427,868 213,934 106,967 320,902 160,451 481,354 240,677 722,032 361,016 180,508 90,254 45,127 135,382 67,691 203,074 101,537 304,612 152,306 76,153 228,460 114,230 57,115

More profiles

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