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Math Directory

1,427,300

22 × 52 × 7 × 2039
Abundant Even Composite

1,427,300 factors as 2^2 × 5^2 × 7 × 2039. Its 36 positive divisors give a proper-divisor sum of 2,114,140, so this integer is abundant. The Collatz stopping time is 168 steps.

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Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 2039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,541,440
Proper Divisor Sum 2,114,140
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1427297 ← → #1427323

Radix Representation

Decimal 1427300
Binary 101011100011101100100 (21 bits)
Octal 0o5343544
Hexadecimal 0x15C764

Divisor Catalog (5 of 36)

1 2 4 5 7

Collatz Trajectory (168 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.

1,427,300 713,650 356,825 1,070,476 535,238

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