λ
Prime Ledger

2,755,920

24 × 3 × 5 × 11483
Abundant Even Composite

2,755,920 has the prime decomposition 2^4 × 3 × 5 × 11483. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,544,096
Proper Divisor Sum 5,788,176
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2755891 ← → #2755943

Radix Representation

Decimal 2755920
Binary 1010100000110101010000 (22 bits)
Octal 0o12406520
Hexadecimal 0x2A0D50

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11,483 22,966 34,449 45,932 57,415 68,898 91,864 114,830 137,796 172,245 183,728 229,660 275,592 344,490 459,320 551,184 688,980 918,640 1,377,960 2,755,920

Collatz Trajectory (125 steps to reach 1)

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

2,755,920 1,377,960 688,980 344,490 172,245 516,736 258,368 129,184 64,592 32,296 16,148 8,074 4,037 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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