λ
Harmonic Matrix

1,478,736

24 × 34 × 7 × 163
Abundant Even Composite

1,478,736 has digital root 9. The neighboring primes are 1478723 and 1478759; its proper-divisor sum differs from the starting integer by 1,963,840.

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Prime Factor Structure

Factorization String 2^4 × 3^4 × 7 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 4,921,312
Proper Divisor Sum 3,442,576
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1478723 ← → #1478759

Radix Representation

Decimal 1478736
Binary 101101001000001010000 (21 bits)
Octal 0o5510120
Hexadecimal 0x169050

Divisor Catalog (5 of 100)

1 2 3 4 6

Collatz Trajectory (150 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.

1,478,736 739,368 369,684 184,842 92,421

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