7,342,188

2² × 3 × 7 × 87407

Starting at 7,342,188, the Collatz iteration reaches 1 after 204 steps. The first transition is 3671094; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 87407

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,579,392

Proper Divisor Sum 12,237,204

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7342187 ← → #7342193

Radix Representation

Decimal	7342188
Binary	11100000000100001101100 (23 bits)
Octal	0o34004154
Hexadecimal	0x70086C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 87,407 174,814 262,221 349,628 524,442 611,849 1,048,884 1,223,698 1,835,547 2,447,396 3,671,094 7,342,188

Collatz Trajectory (204 steps to reach 1)

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

7,342,188 3,671,094 1,835,547 5,506,642 2,753,321 8,259,964 4,129,982 2,064,991 6,194,974 3,097,487 9,292,462 4,646,231 13,938,694 6,969,347 20,908,042 10,454,021 31,362,064 15,681,032 7,840,516 3,920,258 1,960,129 5,880,388 2,940,194 1,470,097 4,410,292 2,205,146 1,102,573 3,307,720 1,653,860 826,930 413,465 1,240,396 620,198 310,099 930,298 465,149 1,395,448 697,724 348,862 174,431 523,294 261,647 784,942 392,471 1,177,414 588,707 1,766,122 883,061 2,649,184 1,324,592 662,296 331,148 165,574 82,787 248,362 124,181 372,544 186,272 93,136 46,568

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