λ
Harmonic Matrix

8,509,388

22 × 2127347
Deficient Even Composite

8,509,388 has digital root 5. The neighboring primes are 8509387 and 8509433; its proper-divisor sum differs from the starting integer by -2,127,340.

Prime Factor Structure

Factorization String 2^2 × 2127347
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,891,436
Proper Divisor Sum 6,382,048
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8509387 ← → #8509433

Radix Representation

Decimal 8509388
Binary 100000011101011111001100 (24 bits)
Octal 0o40353714
Hexadecimal 0x81D7CC

Divisor Catalog (6)

1 2 4 2,127,347 4,254,694 8,509,388

Collatz Trajectory (243 steps to reach 1)

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

8,509,388 4,254,694 2,127,347 6,382,042 3,191,021 9,573,064 4,786,532 2,393,266 1,196,633 3,589,900 1,794,950 897,475 2,692,426 1,346,213 4,038,640 2,019,320 1,009,660 504,830 252,415 757,246 378,623 1,135,870 567,935 1,703,806 851,903 2,555,710 1,277,855 3,833,566 1,916,783 5,750,350 2,875,175 8,625,526 4,312,763 12,938,290 6,469,145 19,407,436 9,703,718 4,851,859 14,555,578 7,277,789 21,833,368 10,916,684 5,458,342 2,729,171 8,187,514 4,093,757 12,281,272 6,140,636 3,070,318 1,535,159 4,605,478 2,302,739 6,908,218 3,454,109 10,362,328 5,181,164 2,590,582 1,295,291 3,885,874 1,942,937

More profiles

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