λ
Matchaa Zalai

1,457,652

22 × 3 × 72 × 37 × 67
Abundant Even Composite

1,457,652 factors as 2^2 × 3 × 7^2 × 37 × 67. Its 72 positive divisors give a proper-divisor sum of 2,666,412, so this integer is abundant. The Collatz stopping time is 212 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 37 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 4,124,064
Proper Divisor Sum 2,666,412
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1457647 ← → #1457653

Radix Representation

Decimal 1457652
Binary 101100011110111110100 (21 bits)
Octal 0o5436764
Hexadecimal 0x163DF4

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (212 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.

1,457,652 728,826 364,413 1,093,240 546,620

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