λ
Match Zalai

1,509,690

2 × 3 × 5 × 72 × 13 × 79
Abundant Even Composite

1,509,690 factors as 2 × 3 × 5 × 7^2 × 13 × 79. Its 96 positive divisors give a proper-divisor sum of 3,086,790, so this integer is abundant. The Collatz stopping time is 88 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 13 × 79
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 4,596,480
Proper Divisor Sum 3,086,790
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1509659 ← → #1509701

Radix Representation

Decimal 1509690
Binary 101110000100100111010 (21 bits)
Octal 0o5604472
Hexadecimal 0x17093A

Divisor Catalog (5 of 96)

1 2 3 5 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.

1,509,690 754,845 2,264,536 1,132,268 566,134

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