λ
Harmonic Matrix

1,506,618

2 × 32 × 83701
Abundant Even Composite

1,506,618 has digital root 9. The neighboring primes are 1506613 and 1506619; its proper-divisor sum differs from the starting integer by 251,142.

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Prime Factor Structure

Factorization String 2 × 3^2 × 83701
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,264,378
Proper Divisor Sum 1,757,760
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1506613 ← → #1506619

Radix Representation

Decimal 1506618
Binary 101101111110100111010 (21 bits)
Octal 0o5576472
Hexadecimal 0x16FD3A

Divisor Catalog (5 of 12)

1 2 3 6 9

Collatz Trajectory (256 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

1,506,618 753,309 2,259,928 1,129,964 564,982

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