λ
Match Zalai

4,743,312

24 × 3 × 7 × 19 × 743
Abundant Even Composite

4,743,312 factors as 2^4 × 3 × 7 × 19 × 743. Its 80 positive divisors give a proper-divisor sum of 10,017,648, so this integer is abundant. The Collatz stopping time is 105 steps.

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Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 19 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 14,760,960
Proper Divisor Sum 10,017,648
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4743311 ← → #4743317

Radix Representation

Decimal 4743312
Binary 10010000110000010010000 (23 bits)
Octal 0o22060220
Hexadecimal 0x486090

Divisor Catalog (5 of 80)

1 2 3 4 6

Collatz Trajectory (105 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.

4,743,312 2,371,656 1,185,828 592,914 296,457

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