λ
Harmonic Matrix

533,067

3 × 137 × 1297
Deficient Odd Composite

533,067 has digital root 6. The neighboring primes are 533063 and 533077; its proper-divisor sum differs from the starting integer by -349,638.

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Prime Factor Structure

Factorization String 3 × 137 × 1297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 716,496
Proper Divisor Sum 183,429
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #533063 ← → #533077

Radix Representation

Decimal 533067
Binary 10000010001001001011 (20 bits)
Octal 0o2021113
Hexadecimal 0x8224B

Divisor Catalog (5 of 8)

1 3 137 411 1,297

Collatz Trajectory (102 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.

533,067 1,599,202 799,601 2,398,804 1,199,402

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