λ
Zalai Atlas

3,474,765

33 × 5 × 7 × 3677
Abundant Odd Composite

3,474,765 has the prime decomposition 3^3 × 5 × 7 × 3677. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 3677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,061,760
Proper Divisor Sum 3,586,995
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3474763 ← → #3474773

Radix Representation

Decimal 3474765
Binary 1101010000010101001101 (22 bits)
Octal 0o15202515
Hexadecimal 0x35054D

Divisor Catalog (5 of 32)

1 3 5 7 9

Collatz Trajectory (190 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.

3,474,765 10,424,296 5,212,148 2,606,074 1,303,037

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