λ
Harmonic Matrix

3,689,387

13 × 283799
Deficient Odd Composite

3,689,387 has digital root 8. The neighboring primes are 3689377 and 3689417; its proper-divisor sum differs from the starting integer by -3,405,574.

Prime Factor Structure

Factorization String 13 × 283799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,973,200
Proper Divisor Sum 283,813
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3689377 ← → #3689417

Radix Representation

Decimal 3689387
Binary 1110000100101110101011 (22 bits)
Octal 0o16045653
Hexadecimal 0x384BAB

Divisor Catalog (4)

1 13 283,799 3,689,387

Collatz Trajectory (203 steps to reach 1)

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

3,689,387 11,068,162 5,534,081 16,602,244 8,301,122 4,150,561 12,451,684 6,225,842 3,112,921 9,338,764 4,669,382 2,334,691 7,004,074 3,502,037 10,506,112 5,253,056 2,626,528 1,313,264 656,632 328,316 164,158 82,079 246,238 123,119 369,358 184,679 554,038 277,019 831,058 415,529 1,246,588 623,294 311,647 934,942 467,471 1,402,414 701,207 2,103,622 1,051,811 3,155,434 1,577,717 4,733,152 2,366,576 1,183,288 591,644 295,822 147,911 443,734 221,867 665,602 332,801 998,404 499,202 249,601 748,804 374,402 187,201 561,604 280,802 140,401

More profiles

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