7,755,348

2² × 3 × 37 × 17467

Starting at 7,755,348, the Collatz iteration reaches 1 after 142 steps. The first transition is 3877674; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 17467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,585,952

Proper Divisor Sum 10,830,604

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7755337 ← → #7755353

Radix Representation

Decimal	7755348
Binary	11101100101011001010100 (23 bits)
Octal	0o35453124
Hexadecimal	0x765654

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 17,467 34,934 52,401 69,868 104,802 209,604 646,279 1,292,558 1,938,837 2,585,116 3,877,674 7,755,348

Collatz Trajectory (142 steps to reach 1)

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

7,755,348 3,877,674 1,938,837 5,816,512 2,908,256 1,454,128 727,064 363,532 181,766 90,883 272,650 136,325 408,976 204,488 102,244 51,122 25,561 76,684 38,342 19,171 57,514 28,757 86,272 43,136 21,568 10,784 5,392 2,696 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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