λ
Prime Ledger

2,754,320

24 × 5 × 34429
Abundant Even Composite

2,754,320 has the prime decomposition 2^4 × 5 × 34429. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 34429
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,403,980
Proper Divisor Sum 3,649,660
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2754299 ← → #2754329

Radix Representation

Decimal 2754320
Binary 1010100000011100010000 (22 bits)
Octal 0o12403420
Hexadecimal 0x2A0710

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 34,429 68,858 137,716 172,145 275,432 344,290 550,864 688,580 1,377,160 2,754,320

Collatz Trajectory (81 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,754,320 1,377,160 688,580 344,290 172,145 516,436 258,218 129,109 387,328 193,664 96,832 48,416 24,208 12,104 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

More profiles

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