λ
Prime Ledger

3,074,160

24 × 3 × 5 × 12809
Abundant Even Composite

3,074,160 has the prime decomposition 2^4 × 3 × 5 × 12809. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 12809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,530,640
Proper Divisor Sum 6,456,480
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3074153 ← → #3074167

Radix Representation

Decimal 3074160
Binary 1011101110100001110000 (22 bits)
Octal 0o13564160
Hexadecimal 0x2EE870

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12,809 25,618 38,427 51,236 64,045 76,854 102,472 128,090 153,708 192,135 204,944 256,180 307,416 384,270 512,360 614,832 768,540 1,024,720 1,537,080 3,074,160

Collatz Trajectory (107 steps to reach 1)

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

3,074,160 1,537,080 768,540 384,270 192,135 576,406 288,203 864,610 432,305 1,296,916 648,458 324,229 972,688 486,344 243,172 121,586 60,793 182,380 91,190 45,595 136,786 68,393 205,180 102,590 51,295 153,886 76,943 230,830 115,415 346,246 173,123 519,370 259,685 779,056 389,528 194,764 97,382 48,691 146,074 73,037 219,112 109,556 54,778 27,389 82,168 41,084 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004

More profiles

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