λ
Harmonic Matrix

5,277,623

13 × 29 × 13999
Deficient Odd Composite

5,277,623 has digital root 5. The neighboring primes are 5277607 and 5277641; its proper-divisor sum differs from the starting integer by -4,675,246.

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Prime Factor Structure

Factorization String 13 × 29 × 13999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,880,000
Proper Divisor Sum 602,377
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5277607 ← → #5277641

Radix Representation

Decimal 5277623
Binary 10100001000011110110111 (23 bits)
Octal 0o24103667
Hexadecimal 0x5087B7

Divisor Catalog (5 of 8)

1 13 29 377 13,999

Collatz Trajectory (100 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.

5,277,623 15,832,870 7,916,435 23,749,306 11,874,653

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