2,314,680

2³ × 3 × 5 × 19289

Starting at 2,314,680, the Collatz iteration reaches 1 after 254 steps. The first transition is 1157340; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 19289

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,944,400

Proper Divisor Sum 4,629,720

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2314673 ← → #2314691

Radix Representation

Decimal	2314680
Binary	1000110101000110111000 (22 bits)
Octal	0o10650670
Hexadecimal	0x2351B8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 19,289 38,578 57,867 77,156 96,445 115,734 154,312 192,890 231,468 289,335 385,780 462,936 578,670 771,560 1,157,340 2,314,680

Collatz Trajectory (254 steps to reach 1)

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

2,314,680 1,157,340 578,670 289,335 868,006 434,003 1,302,010 651,005 1,953,016 976,508 488,254 244,127 732,382 366,191 1,098,574 549,287 1,647,862 823,931 2,471,794 1,235,897 3,707,692 1,853,846 926,923 2,780,770 1,390,385 4,171,156 2,085,578 1,042,789 3,128,368 1,564,184 782,092 391,046 195,523 586,570 293,285 879,856 439,928 219,964 109,982 54,991 164,974 82,487 247,462 123,731 371,194 185,597 556,792 278,396 139,198 69,599 208,798 104,399 313,198 156,599 469,798 234,899 704,698 352,349 1,057,048 528,524

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