λ
Harmonic Matrix

3,608,106

2 × 3 × 347 × 1733
Abundant Even Composite

3,608,106 has digital root 6. The neighboring primes are 3608071 and 3608117; its proper-divisor sum differs from the starting integer by 24,972.

Prime Factor Structure

Factorization String 2 × 3 × 347 × 1733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,241,184
Proper Divisor Sum 3,633,078
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3608071 ← → #3608117

Radix Representation

Decimal 3608106
Binary 1101110000111000101010 (22 bits)
Octal 0o15607052
Hexadecimal 0x370E2A

Divisor Catalog (16)

1 2 3 6 347 694 1,041 1,733 2,082 3,466 5,199 10,398 601,351 1,202,702 1,804,053 3,608,106

Collatz Trajectory (115 steps to reach 1)

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

3,608,106 1,804,053 5,412,160 2,706,080 1,353,040 676,520 338,260 169,130 84,565 253,696 126,848 63,424 31,712 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637

More profiles

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