7,375,656

2³ × 3 × 191 × 1609

Starting at 7,375,656, the Collatz iteration reaches 1 after 204 steps. The first transition is 3687828; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 191 × 1609

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,547,200

Proper Divisor Sum 11,171,544

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7375633 ← → #7375681

Radix Representation

Decimal	7375656
Binary	11100001000101100101000 (23 bits)
Octal	0o34105450
Hexadecimal	0x708B28

Divisor Catalog (32)

1 2 3 4 6 8 12 24 191 382 573 764 1,146 1,528 1,609 2,292 3,218 4,584 4,827 6,436 9,654 12,872 19,308 38,616 307,319 614,638 921,957 1,229,276 1,843,914 2,458,552 3,687,828 7,375,656

Collatz Trajectory (204 steps to reach 1)

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

7,375,656 3,687,828 1,843,914 921,957 2,765,872 1,382,936 691,468 345,734 172,867 518,602 259,301 777,904 388,952 194,476 97,238 48,619 145,858 72,929 218,788 109,394 54,697 164,092 82,046 41,023 123,070 61,535 184,606 92,303 276,910 138,455 415,366 207,683 623,050 311,525 934,576 467,288 233,644 116,822 58,411 175,234 87,617 262,852 131,426 65,713 197,140 98,570 49,285 147,856 73,928 36,964 18,482 9,241 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798

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