λ
Harmonic Matrix

5,636,515

5 × 1127303
Deficient Odd Composite

5,636,515 has digital root 4. The neighboring primes are 5636471 and 5636539; its proper-divisor sum differs from the starting integer by -4,509,206.

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Prime Factor Structure

Factorization String 5 × 1127303
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,763,824
Proper Divisor Sum 1,127,309
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5636471 ← → #5636539

Radix Representation

Decimal 5636515
Binary 10101100000000110100011 (23 bits)
Octal 0o25400643
Hexadecimal 0x5601A3

Divisor Catalog (4)

1 5 1,127,303 5,636,515

Collatz Trajectory (108 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.

5,636,515 16,909,546 8,454,773 25,364,320 12,682,160

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