6,957,846

2 × 3³ × 7 × 79 × 233

Starting at 6,957,846, the Collatz iteration reaches 1 after 178 steps. The first transition is 3478923; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 79 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,971,200

Proper Divisor Sum 11,013,354

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6957829 ← → #6957851

Radix Representation

Decimal	6957846
Binary	11010100010101100010110 (23 bits)
Octal	0o32425426
Hexadecimal	0x6A2B16

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 233 237 378 466 474 553 699 711 1,106 1,398 1,422 1,631 1,659 2,097 2,133 3,262 3,318 4,194 4,266 4,893 4,977 6,291 9,786 9,954 12,582 14,679 14,931 18,407 29,358 29,862 36,814 44,037 55,221 88,074 110,442 128,849 165,663 257,698 331,326 386,547 496,989 773,094 993,978

Collatz Trajectory (178 steps to reach 1)

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

6,957,846 3,478,923 10,436,770 5,218,385 15,655,156 7,827,578 3,913,789 11,741,368 5,870,684 2,935,342 1,467,671 4,403,014 2,201,507 6,604,522 3,302,261 9,906,784 4,953,392 2,476,696 1,238,348 619,174 309,587 928,762 464,381 1,393,144 696,572 348,286 174,143 522,430 261,215 783,646 391,823 1,175,470 587,735 1,763,206 881,603 2,644,810 1,322,405 3,967,216 1,983,608 991,804 495,902 247,951 743,854 371,927 1,115,782 557,891 1,673,674 836,837 2,510,512 1,255,256 627,628 313,814 156,907 470,722 235,361 706,084 353,042 176,521 529,564 264,782

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