λ
Zalai Atlas

754,677

34 × 7 × 113
Deficient Odd Composite

754,677 has the prime decomposition 3^4 × 7 × 11^3. Its 3 distinct prime factors produce 40 positive divisors.

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Prime Factor Structure

Factorization String 3^4 × 7 × 11^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,417,152
Proper Divisor Sum 662,475
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #754651 ← → #754703

Radix Representation

Decimal 754677
Binary 10111000001111110101 (20 bits)
Octal 0o2701765
Hexadecimal 0xB83F5

Divisor Catalog (5 of 40)

1 3 7 9 11

Collatz Trajectory (87 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.

754,677 2,264,032 1,132,016 566,008 283,004

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