λ
Harmonic Matrix

8,043,304

23 × 1005413
Deficient Even Composite

8,043,304 has digital root 4. The neighboring primes are 8043271 and 8043323; its proper-divisor sum differs from the starting integer by -1,005,398.

Prime Factor Structure

Factorization String 2^3 × 1005413
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,081,210
Proper Divisor Sum 7,037,906
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8043271 ← → #8043323

Radix Representation

Decimal 8043304
Binary 11110101011101100101000 (23 bits)
Octal 0o36535450
Hexadecimal 0x7ABB28

Divisor Catalog (8)

1 2 4 8 1,005,413 2,010,826 4,021,652 8,043,304

Collatz Trajectory (292 steps to reach 1)

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

8,043,304 4,021,652 2,010,826 1,005,413 3,016,240 1,508,120 754,060 377,030 188,515 565,546 282,773 848,320 424,160 212,080 106,040 53,020 26,510 13,255 39,766 19,883 59,650 29,825 89,476 44,738 22,369 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178

More profiles

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