λ
Math Directory

1,496,748

22 × 3 × 11 × 17 × 23 × 29
Abundant Even Composite

1,496,748 factors as 2^2 × 3 × 11 × 17 × 23 × 29. Its 96 positive divisors give a proper-divisor sum of 2,857,812, so this integer is abundant. The Collatz stopping time is 88 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 17 × 23 × 29
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 4,354,560
Proper Divisor Sum 2,857,812
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1496741 ← → #1496749

Radix Representation

Decimal 1496748
Binary 101101101011010101100 (21 bits)
Octal 0o5553254
Hexadecimal 0x16D6AC

Divisor Catalog (5 of 96)

1 2 3 4 6

Collatz Trajectory (88 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.

1,496,748 748,374 374,187 1,122,562 561,281

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