7,256,334

2 × 3 × 379 × 3191

Starting at 7,256,334, the Collatz iteration reaches 1 after 235 steps. The first transition is 3628167; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 379 × 3191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,555,520

Proper Divisor Sum 7,299,186

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7256321 ← → #7256341

Radix Representation

Decimal	7256334
Binary	11011101011100100001110 (23 bits)
Octal	0o33534416
Hexadecimal	0x6EB90E

Divisor Catalog (16)

1 2 3 6 379 758 1,137 2,274 3,191 6,382 9,573 19,146 1,209,389 2,418,778 3,628,167 7,256,334

Collatz Trajectory (235 steps to reach 1)

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

7,256,334 3,628,167 10,884,502 5,442,251 16,326,754 8,163,377 24,490,132 12,245,066 6,122,533 18,367,600 9,183,800 4,591,900 2,295,950 1,147,975 3,443,926 1,721,963 5,165,890 2,582,945 7,748,836 3,874,418 1,937,209 5,811,628 2,905,814 1,452,907 4,358,722 2,179,361 6,538,084 3,269,042 1,634,521 4,903,564 2,451,782 1,225,891 3,677,674 1,838,837 5,516,512 2,758,256 1,379,128 689,564 344,782 172,391 517,174 258,587 775,762 387,881 1,163,644 581,822 290,911 872,734 436,367 1,309,102 654,551 1,963,654 981,827 2,945,482 1,472,741 4,418,224 2,209,112 1,104,556 552,278 276,139

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