λ
Harmonic Matrix

4,882,976

25 × 7 × 21799
Abundant Even Composite

4,882,976 has digital root 8. The neighboring primes are 4882963 and 4882979; its proper-divisor sum differs from the starting integer by 1,221,248.

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Prime Factor Structure

Factorization String 2^5 × 7 × 21799
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,987,200
Proper Divisor Sum 6,104,224
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4882963 ← → #4882979

Radix Representation

Decimal 4882976
Binary 10010101000001000100000 (23 bits)
Octal 0o22501040
Hexadecimal 0x4A8220

Divisor Catalog (5 of 24)

1 2 4 7 8

Collatz Trajectory (61 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.

4,882,976 2,441,488 1,220,744 610,372 305,186

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