λ
Harmonic Matrix

1,053,507

3 × 7 × 13 × 17 × 227
Deficient Odd Composite

1,053,507 has digital root 3. The neighboring primes are 1053497 and 1053509; its proper-divisor sum differs from the starting integer by -268,422.

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Prime Factor Structure

Factorization String 3 × 7 × 13 × 17 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,838,592
Proper Divisor Sum 785,085
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1053497 ← → #1053509

Radix Representation

Decimal 1053507
Binary 100000001001101000011 (21 bits)
Octal 0o4011503
Hexadecimal 0x101343

Divisor Catalog (5 of 32)

1 3 7 13 17

Collatz Trajectory (126 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.

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