7,386,160

2⁴ × 5 × 17 × 5431

Starting at 7,386,160, the Collatz iteration reaches 1 after 204 steps. The first transition is 3693080; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 5431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,186,336

Proper Divisor Sum 10,800,176

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7386157 ← → #7386179

Radix Representation

Decimal	7386160
Binary	11100001011010000110000 (23 bits)
Octal	0o34132060
Hexadecimal	0x70B430

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 5,431 10,862 21,724 27,155 43,448 54,310 86,896 92,327 108,620 184,654 217,240 369,308 434,480 461,635 738,616 923,270 1,477,232 1,846,540 3,693,080 7,386,160

Collatz Trajectory (204 steps to reach 1)

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

7,386,160 3,693,080 1,846,540 923,270 461,635 1,384,906 692,453 2,077,360 1,038,680 519,340 259,670 129,835 389,506 194,753 584,260 292,130 146,065 438,196 219,098 109,549 328,648 164,324 82,162 41,081 123,244 61,622 30,811 92,434 46,217 138,652 69,326 34,663 103,990 51,995 155,986 77,993 233,980 116,990 58,495 175,486 87,743 263,230 131,615 394,846 197,423 592,270 296,135 888,406 444,203 1,332,610 666,305 1,998,916 999,458 499,729 1,499,188 749,594 374,797 1,124,392 562,196 281,098

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