λ
Ratio Atlas

1,303,302

2 × 3 × 72 × 11 × 13 × 31
Abundant Even Composite

1,303,302 factors as 2 × 3 × 7^2 × 11 × 13 × 31. Its 96 positive divisors give a proper-divisor sum of 2,373,882, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 11 × 13 × 31
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 3,677,184
Proper Divisor Sum 2,373,882
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1303297 ← → #1303307

Radix Representation

Decimal 1303302
Binary 100111110001100000110 (21 bits)
Octal 0o4761406
Hexadecimal 0x13E306

Divisor Catalog (60 of 96)

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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