λ
Prime Ledger

2,684,034

2 × 32 × 149113
Abundant Even Composite

2,684,034 has the prime decomposition 2 × 3^2 × 149113. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 149113
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,815,446
Proper Divisor Sum 3,131,412
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2684023 ← → #2684041

Radix Representation

Decimal 2684034
Binary 1010001111010010000010 (22 bits)
Octal 0o12172202
Hexadecimal 0x28F482

Divisor Catalog (12)

1 2 3 6 9 18 149,113 298,226 447,339 894,678 1,342,017 2,684,034

Collatz Trajectory (187 steps to reach 1)

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

2,684,034 1,342,017 4,026,052 2,013,026 1,006,513 3,019,540 1,509,770 754,885 2,264,656 1,132,328 566,164 283,082 141,541 424,624 212,312 106,156 53,078 26,539 79,618 39,809 119,428 59,714 29,857 89,572 44,786 22,393 67,180 33,590 16,795 50,386 25,193 75,580 37,790 18,895 56,686 28,343 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027

More profiles

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