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Zalai Atlas

4,148,172

22 × 34 × 7 × 31 × 59
Abundant Even Composite

4,148,172 has the prime decomposition 2^2 × 3^4 × 7 × 31 × 59. Its 5 distinct prime factors produce 120 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 31 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 13,009,920
Proper Divisor Sum 8,861,748
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4148161 ← → #4148219

Radix Representation

Decimal 4148172
Binary 1111110100101111001100 (22 bits)
Octal 0o17645714
Hexadecimal 0x3F4BCC

Divisor Catalog (5 of 120)

1 2 3 4 6

Collatz Trajectory (159 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.

4,148,172 2,074,086 1,037,043 3,111,130 1,555,565

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