7,742,118

2 × 3 × 67 × 19259

Starting at 7,742,118, the Collatz iteration reaches 1 after 186 steps. The first transition is 3871059; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 19259

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,716,160

Proper Divisor Sum 7,974,042

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7742113 ← → #7742129

Radix Representation

Decimal	7742118
Binary	11101100010001010100110 (23 bits)
Octal	0o35421246
Hexadecimal	0x7622A6

Divisor Catalog (16)

1 2 3 6 67 134 201 402 19,259 38,518 57,777 115,554 1,290,353 2,580,706 3,871,059 7,742,118

Collatz Trajectory (186 steps to reach 1)

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

7,742,118 3,871,059 11,613,178 5,806,589 17,419,768 8,709,884 4,354,942 2,177,471 6,532,414 3,266,207 9,798,622 4,899,311 14,697,934 7,348,967 22,046,902 11,023,451 33,070,354 16,535,177 49,605,532 24,802,766 12,401,383 37,204,150 18,602,075 55,806,226 27,903,113 83,709,340 41,854,670 20,927,335 62,782,006 31,391,003 94,173,010 47,086,505 141,259,516 70,629,758 35,314,879 105,944,638 52,972,319 158,916,958 79,458,479 238,375,438 119,187,719 357,563,158 178,781,579 536,344,738 268,172,369 804,517,108 402,258,554 201,129,277 603,387,832 301,693,916 150,846,958 75,423,479 226,270,438 113,135,219 339,405,658 169,702,829 509,108,488 254,554,244 127,277,122 63,638,561

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