λ
Prime Ledger

2,977,624

23 × 13 × 28631
Abundant Even Composite

2,977,624 has the prime decomposition 2^3 × 13 × 28631. Its 3 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 13 × 28631
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,012,720
Proper Divisor Sum 3,035,096
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2977619 ← → #2977651

Radix Representation

Decimal 2977624
Binary 1011010110111101011000 (22 bits)
Octal 0o13267530
Hexadecimal 0x2D6F58

Divisor Catalog (5 of 16)

1 2 4 8 13

Collatz Trajectory (120 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.

2,977,624 1,488,812 744,406 372,203 1,116,610

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