λ
Prime Ledger

749,353

113 × 563
Deficient Odd Composite

749,353 has the prime decomposition 11^3 × 563. Its 2 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 11^3 × 563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 825,696
Proper Divisor Sum 76,343
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #749351 ← → #749383

Radix Representation

Decimal 749353
Binary 10110110111100101001 (20 bits)
Octal 0o2667451
Hexadecimal 0xB6F29

Divisor Catalog (5 of 8)

1 11 121 563 1,331

Collatz Trajectory (110 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.

749,353 2,248,060 1,124,030 562,015 1,686,046

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