λ
Prime Ledger

7,639,616

26 × 79 × 1511
Abundant Even Composite

7,639,616 has the prime decomposition 2^6 × 79 × 1511. Its 3 distinct prime factors produce 28 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 79 × 1511
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 15,361,920
Proper Divisor Sum 7,722,304
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7639607 ← → #7639633

Radix Representation

Decimal 7639616
Binary 11101001001001001000000 (23 bits)
Octal 0o35111100
Hexadecimal 0x749240

Divisor Catalog (5 of 28)

1 2 4 8 16

Collatz Trajectory (124 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.

7,639,616 3,819,808 1,909,904 954,952 477,476

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