λ
Prime Ledger

4,192,794

2 × 32 × 109 × 2137
Abundant Even Composite

4,192,794 has the prime decomposition 2 × 3^2 × 109 × 2137. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 109 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,172,020
Proper Divisor Sum 4,979,226
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4192789 ← → #4192841

Radix Representation

Decimal 4192794
Binary 1111111111101000011010 (22 bits)
Octal 0o17775032
Hexadecimal 0x3FFA1A

Divisor Catalog (24)

1 2 3 6 9 18 109 218 327 654 981 1,962 2,137 4,274 6,411 12,822 19,233 38,466 232,933 465,866 698,799 1,397,598 2,096,397 4,192,794

Collatz Trajectory (61 steps to reach 1)

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

4,192,794 2,096,397 6,289,192 3,144,596 1,572,298 786,149 2,358,448 1,179,224 589,612 294,806 147,403 442,210 221,105 663,316 331,658 165,829 497,488 248,744 124,372 62,186 31,093 93,280 46,640 23,320 11,660 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

More profiles

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