λ
Prime Ledger

8,241,378

2 × 3 × 1373563
Abundant Even Composite

8,241,378 has the prime decomposition 2 × 3 × 1373563. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1373563
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,482,768
Proper Divisor Sum 8,241,390
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8241377 ← → #8241391

Radix Representation

Decimal 8241378
Binary 11111011100000011100010 (23 bits)
Octal 0o37340342
Hexadecimal 0x7DC0E2

Divisor Catalog (8)

1 2 3 6 1,373,563 2,747,126 4,120,689 8,241,378

Collatz Trajectory (54 steps to reach 1)

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

8,241,378 4,120,689 12,362,068 6,181,034 3,090,517 9,271,552 4,635,776 2,317,888 1,158,944 579,472 289,736 144,868 72,434 36,217 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008 14,504 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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