λ
Prime Ledger

4,090,692

22 × 3 × 47 × 7253
Abundant Even Composite

4,090,692 has the prime decomposition 2^2 × 3 × 47 × 7253. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 7253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,749,376
Proper Divisor Sum 5,658,684
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4090679 ← → #4090703

Radix Representation

Decimal 4090692
Binary 1111100110101101000100 (22 bits)
Octal 0o17465504
Hexadecimal 0x3E6B44

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 7,253 14,506 21,759 29,012 43,518 87,036 340,891 681,782 1,022,673 1,363,564 2,045,346 4,090,692

Collatz Trajectory (167 steps to reach 1)

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

4,090,692 2,045,346 1,022,673 3,068,020 1,534,010 767,005 2,301,016 1,150,508 575,254 287,627 862,882 431,441 1,294,324 647,162 323,581 970,744 485,372 242,686 121,343 364,030 182,015 546,046 273,023 819,070 409,535 1,228,606 614,303 1,842,910 921,455 2,764,366 1,382,183 4,146,550 2,073,275 6,219,826 3,109,913 9,329,740 4,664,870 2,332,435 6,997,306 3,498,653 10,495,960 5,247,980 2,623,990 1,311,995 3,935,986 1,967,993 5,903,980 2,951,990 1,475,995 4,427,986 2,213,993 6,641,980 3,320,990 1,660,495 4,981,486 2,490,743 7,472,230 3,736,115 11,208,346 5,604,173

More profiles

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