7,109,298

2 × 3² × 7 × 17 × 3319

Starting at 7,109,298, the Collatz iteration reaches 1 after 160 steps. The first transition is 3554649; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 3319

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,645,120

Proper Divisor Sum 11,535,822

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7109293 ← → #7109309

Radix Representation

Decimal	7109298
Binary	11011000111101010110010 (23 bits)
Octal	0o33075262
Hexadecimal	0x6C7AB2

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1,071 2,142 3,319 6,638 9,957 19,914 23,233 29,871 46,466 56,423 59,742 69,699 112,846 139,398 169,269 209,097 338,538 394,961 418,194 507,807 789,922 1,015,614 1,184,883 2,369,766 3,554,649 7,109,298

Collatz Trajectory (160 steps to reach 1)

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

7,109,298 3,554,649 10,663,948 5,331,974 2,665,987 7,997,962 3,998,981 11,996,944 5,998,472 2,999,236 1,499,618 749,809 2,249,428 1,124,714 562,357 1,687,072 843,536 421,768 210,884 105,442 52,721 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214

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