λ
Prime Ledger

2,740,892

22 × 7 × 112 × 809
Abundant Even Composite

2,740,892 has the prime decomposition 2^2 × 7 × 11^2 × 809. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11^2 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,032,880
Proper Divisor Sum 3,291,988
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2740889 ← → #2740919

Radix Representation

Decimal 2740892
Binary 1010011101001010011100 (22 bits)
Octal 0o12351234
Hexadecimal 0x29D29C

Divisor Catalog (36)

1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 809 847 1,618 1,694 3,236 3,388 5,663 8,899 11,326 17,798 22,652 35,596 62,293 97,889 124,586 195,778 249,172 391,556 685,223 1,370,446 2,740,892

Collatz Trajectory (156 steps to reach 1)

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

2,740,892 1,370,446 685,223 2,055,670 1,027,835 3,083,506 1,541,753 4,625,260 2,312,630 1,156,315 3,468,946 1,734,473 5,203,420 2,601,710 1,300,855 3,902,566 1,951,283 5,853,850 2,926,925 8,780,776 4,390,388 2,195,194 1,097,597 3,292,792 1,646,396 823,198 411,599 1,234,798 617,399 1,852,198 926,099 2,778,298 1,389,149 4,167,448 2,083,724 1,041,862 520,931 1,562,794 781,397 2,344,192 1,172,096 586,048 293,024 146,512 73,256 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484

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