λ
Matchaa Zalai

1,762,970

2 × 5 × 112 × 31 × 47
Abundant Even Composite

1,762,970 factors as 2 × 5 × 11^2 × 31 × 47. Its 48 positive divisors give a proper-divisor sum of 1,914,214, so this integer is abundant. The Collatz stopping time is 127 steps.

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Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 31 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,677,184
Proper Divisor Sum 1,914,214
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1762963 ← → #1762987

Radix Representation

Decimal 1762970
Binary 110101110011010011010 (21 bits)
Octal 0o6563232
Hexadecimal 0x1AE69A

Divisor Catalog (5 of 48)

1 2 5 10 11

Collatz Trajectory (127 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.

1,762,970 881,485 2,644,456 1,322,228 661,114

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