λ
Sigma Notebook

2,762,802

2 × 33 × 7 × 7309
Abundant Even Composite

2,762,802 is even and not a perfect square. Its factorization is 2 × 3^3 × 7 × 7309 and its 32 divisors sum to 7,017,600.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 7309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,017,600
Proper Divisor Sum 4,254,798
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2762779 ← → #2762803

Radix Representation

Decimal 2762802
Binary 1010100010100000110010 (22 bits)
Octal 0o12424062
Hexadecimal 0x2A2832

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 7,309 14,618 21,927 43,854 51,163 65,781 102,326 131,562 153,489 197,343 306,978 394,686 460,467 920,934 1,381,401 2,762,802

Collatz Trajectory (200 steps to reach 1)

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

2,762,802 1,381,401 4,144,204 2,072,102 1,036,051 3,108,154 1,554,077 4,662,232 2,331,116 1,165,558 582,779 1,748,338 874,169 2,622,508 1,311,254 655,627 1,966,882 983,441 2,950,324 1,475,162 737,581 2,212,744 1,106,372 553,186 276,593 829,780 414,890 207,445 622,336 311,168 155,584 77,792 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487

More profiles

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