λ
Sigma Notebook

1,742,510

2 × 5 × 7 × 11 × 31 × 73
Abundant Even Composite

1,742,510 is even and not a perfect square. Its factorization is 2 × 5 × 7 × 11 × 31 × 73 and its 64 divisors sum to 4,091,904.

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Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 31 × 73
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,091,904
Proper Divisor Sum 2,349,394
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1742501 ← → #1742513

Radix Representation

Decimal 1742510
Binary 110101001011010101110 (21 bits)
Octal 0o6513256
Hexadecimal 0x1A96AE

Divisor Catalog (5 of 64)

1 2 5 7 10

Collatz Trajectory (83 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.

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