2,394,640

2⁴ × 5 × 37 × 809

Starting at 2,394,640, the Collatz iteration reaches 1 after 192 steps. The first transition is 1197320; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 5,725,080

Proper Divisor Sum 3,330,440

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2394631 ← → #2394641

Radix Representation

Decimal	2394640
Binary	1001001000101000010000 (22 bits)
Octal	0o11105020
Hexadecimal	0x248A10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 809 1,480 1,618 2,960 3,236 4,045 6,472 8,090 12,944 16,180 29,933 32,360 59,866 64,720 119,732 149,665 239,464 299,330 478,928 598,660 1,197,320 2,394,640

Collatz Trajectory (192 steps to reach 1)

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

2,394,640 1,197,320 598,660 299,330 149,665 448,996 224,498 112,249 336,748 168,374 84,187 252,562 126,281 378,844 189,422 94,711 284,134 142,067 426,202 213,101 639,304 319,652 159,826 79,913 239,740 119,870 59,935 179,806 89,903 269,710 134,855 404,566 202,283 606,850 303,425 910,276 455,138 227,569 682,708 341,354 170,677 512,032 256,016 128,008 64,004 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191

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