λ
Harmonic Matrix

4,827,136

211 × 2357
Abundant Even Composite

4,827,136 has digital root 4. The neighboring primes are 4827107 and 4827139; its proper-divisor sum differs from the starting integer by 1,738.

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Prime Factor Structure

Factorization String 2^11 × 2357
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,656,010
Proper Divisor Sum 4,828,874
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4827107 ← → #4827139

Radix Representation

Decimal 4827136
Binary 10010011010100000000000 (23 bits)
Octal 0o22324000
Hexadecimal 0x49A800

Divisor Catalog (5 of 24)

1 2 4 8 16

Collatz Trajectory (131 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.

4,827,136 2,413,568 1,206,784 603,392 301,696

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