λ
Harmonic Matrix

1,504,845

33 × 5 × 71 × 157
Deficient Odd Composite

1,504,845 has digital root 9. The neighboring primes are 1504843 and 1504847; its proper-divisor sum differs from the starting integer by -279,450.

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Prime Factor Structure

Factorization String 3^3 × 5 × 71 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,730,240
Proper Divisor Sum 1,225,395
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1504843 ← → #1504847

Radix Representation

Decimal 1504845
Binary 101101111011001001101 (21 bits)
Octal 0o5573115
Hexadecimal 0x16F64D

Divisor Catalog (5 of 32)

1 3 5 9 15

Collatz Trajectory (163 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.

1,504,845 4,514,536 2,257,268 1,128,634 564,317

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