λ
Sigma Notebook

2,821,506

2 × 3 × 470251
Abundant Even Composite

2,821,506 is even and not a perfect square. Its factorization is 2 × 3 × 470251 and its 8 divisors sum to 5,643,024.

Prime Factor Structure

Factorization String 2 × 3 × 470251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,643,024
Proper Divisor Sum 2,821,518
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2821501 ← → #2821513

Radix Representation

Decimal 2821506
Binary 1010110000110110000010 (22 bits)
Octal 0o12606602
Hexadecimal 0x2B0D82

Divisor Catalog (8)

1 2 3 6 470,251 940,502 1,410,753 2,821,506

Collatz Trajectory (200 steps to reach 1)

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

2,821,506 1,410,753 4,232,260 2,116,130 1,058,065 3,174,196 1,587,098 793,549 2,380,648 1,190,324 595,162 297,581 892,744 446,372 223,186 111,593 334,780 167,390 83,695 251,086 125,543 376,630 188,315 564,946 282,473 847,420 423,710 211,855 635,566 317,783 953,350 476,675 1,430,026 715,013 2,145,040 1,072,520 536,260 268,130 134,065 402,196 201,098 100,549 301,648 150,824 75,412 37,706 18,853 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900

More profiles

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