λ
Prime Ledger

2,876,784

24 × 3 × 73 × 821
Abundant Even Composite

2,876,784 has the prime decomposition 2^4 × 3 × 73 × 821. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 73 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,542,672
Proper Divisor Sum 4,665,888
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2876777 ← → #2876789

Radix Representation

Decimal 2876784
Binary 1010111110010101110000 (22 bits)
Octal 0o12762560
Hexadecimal 0x2BE570

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 821 876 1,168 1,642 1,752 2,463 3,284 3,504 4,926 6,568 9,852 13,136 19,704 39,408 59,933 119,866 179,799 239,732 359,598 479,464 719,196 958,928 1,438,392 2,876,784

Collatz Trajectory (169 steps to reach 1)

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

2,876,784 1,438,392 719,196 359,598 179,799 539,398 269,699 809,098 404,549 1,213,648 606,824 303,412 151,706 75,853 227,560 113,780 56,890 28,445 85,336 42,668 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256

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