λ
Harmonic Matrix

1,484,724

22 × 3 × 123727
Abundant Even Composite

1,484,724 has digital root 3. The neighboring primes are 1484723 and 1484737; its proper-divisor sum differs from the starting integer by 494,936.

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Prime Factor Structure

Factorization String 2^2 × 3 × 123727
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,464,384
Proper Divisor Sum 1,979,660
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1484723 ← → #1484737

Radix Representation

Decimal 1484724
Binary 101101010011110110100 (21 bits)
Octal 0o5523664
Hexadecimal 0x16A7B4

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (212 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.

1,484,724 742,362 371,181 1,113,544 556,772

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