7,706,334

2 × 3 × 23 × 55843

Starting at 7,706,334, the Collatz iteration reaches 1 after 98 steps. The first transition is 3853167; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 55843

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,083,072

Proper Divisor Sum 8,376,738

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7706333 ← → #7706341

Radix Representation

Decimal	7706334
Binary	11101011001011011011110 (23 bits)
Octal	0o35313336
Hexadecimal	0x7596DE

Divisor Catalog (16)

1 2 3 6 23 46 69 138 55,843 111,686 167,529 335,058 1,284,389 2,568,778 3,853,167 7,706,334

Collatz Trajectory (98 steps to reach 1)

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

7,706,334 3,853,167 11,559,502 5,779,751 17,339,254 8,669,627 26,008,882 13,004,441 39,013,324 19,506,662 9,753,331 29,259,994 14,629,997 43,889,992 21,944,996 10,972,498 5,486,249 16,458,748 8,229,374 4,114,687 12,344,062 6,172,031 18,516,094 9,258,047 27,774,142 13,887,071 41,661,214 20,830,607 62,491,822 31,245,911 93,737,734 46,868,867 140,606,602 70,303,301 210,909,904 105,454,952 52,727,476 26,363,738 13,181,869 39,545,608 19,772,804 9,886,402 4,943,201 14,829,604 7,414,802 3,707,401 11,122,204 5,561,102 2,780,551 8,341,654 4,170,827 12,512,482 6,256,241 18,768,724 9,384,362 4,692,181 14,076,544 7,038,272 3,519,136 1,759,568

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