λ
Harmonic Matrix

5,290,726

2 × 72 × 53987
Deficient Even Composite

5,290,726 has digital root 4. The neighboring primes are 5290717 and 5290729; its proper-divisor sum differs from the starting integer by -1,349,504.

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Prime Factor Structure

Factorization String 2 × 7^2 × 53987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,231,948
Proper Divisor Sum 3,941,222
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5290717 ← → #5290729

Radix Representation

Decimal 5290726
Binary 10100001011101011100110 (23 bits)
Octal 0o24135346
Hexadecimal 0x50BAE6

Divisor Catalog (5 of 12)

1 2 7 14 49

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.

5,290,726 2,645,363 7,936,090 3,968,045 11,904,136

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