λ
Harmonic Matrix

533,952

26 × 34 × 103
Abundant Even Composite

533,952 has digital root 9. The neighboring primes are 533927 and 533959; its proper-divisor sum differs from the starting integer by 530,264.

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Prime Factor Structure

Factorization String 2^6 × 3^4 × 103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 70
Divisor Sum (σ) 1,598,168
Proper Divisor Sum 1,064,216
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #533927 ← → #533959

Radix Representation

Decimal 533952
Binary 10000010010111000000 (20 bits)
Octal 0o2022700
Hexadecimal 0x825C0

Divisor Catalog (5 of 70)

1 2 3 4 6

Collatz Trajectory (133 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.

533,952 266,976 133,488 66,744 33,372

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