λ
Match Zalai

7,624,302

2 × 3 × 72 × 25933
Abundant Even Composite

7,624,302 factors as 2 × 3 × 7^2 × 25933. Its 24 positive divisors give a proper-divisor sum of 10,114,554, so this integer is abundant. The Collatz stopping time is 279 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 25933
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,738,856
Proper Divisor Sum 10,114,554
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7624291 ← → #7624307

Radix Representation

Decimal 7624302
Binary 11101000101011001101110 (23 bits)
Octal 0o35053156
Hexadecimal 0x74566E

Divisor Catalog (5 of 24)

1 2 3 6 7

Collatz Trajectory (279 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.

7,624,302 3,812,151 11,436,454 5,718,227 17,154,682

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