λ
Prime Ledger

2,702,646

2 × 35 × 67 × 83
Abundant Even Composite

2,702,646 has the prime decomposition 2 × 3^5 × 67 × 83. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^5 × 67 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,237,504
Proper Divisor Sum 3,534,858
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2702639 ← → #2702647

Radix Representation

Decimal 2702646
Binary 1010010011110100110110 (22 bits)
Octal 0o12236466
Hexadecimal 0x293D36

Divisor Catalog (5 of 48)

1 2 3 6 9

Collatz Trajectory (200 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.

2,702,646 1,351,323 4,053,970 2,026,985 6,080,956

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