λ
Prime Ledger

2,764,536

23 × 3 × 127 × 907
Abundant Even Composite

2,764,536 has the prime decomposition 2^3 × 3 × 127 × 907. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 127 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,973,440
Proper Divisor Sum 4,208,904
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2764499 ← → #2764537

Radix Representation

Decimal 2764536
Binary 1010100010111011111000 (22 bits)
Octal 0o12427370
Hexadecimal 0x2A2EF8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 127 254 381 508 762 907 1,016 1,524 1,814 2,721 3,048 3,628 5,442 7,256 10,884 21,768 115,189 230,378 345,567 460,756 691,134 921,512 1,382,268 2,764,536

Collatz Trajectory (81 steps to reach 1)

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

2,764,536 1,382,268 691,134 345,567 1,036,702 518,351 1,555,054 777,527 2,332,582 1,166,291 3,498,874 1,749,437 5,248,312 2,624,156 1,312,078 656,039 1,968,118 984,059 2,952,178 1,476,089 4,428,268 2,214,134 1,107,067 3,321,202 1,660,601 4,981,804 2,490,902 1,245,451 3,736,354 1,868,177 5,604,532 2,802,266 1,401,133 4,203,400 2,101,700 1,050,850 525,425 1,576,276 788,138 394,069 1,182,208 591,104 295,552 147,776 73,888 36,944 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488

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