6,517,060

2² × 5 × 11² × 2693

Starting at 6,517,060, the Collatz iteration reaches 1 after 116 steps. The first transition is 3258530; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11^2 × 2693

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,048,684

Proper Divisor Sum 8,531,624

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6517033 ← → #6517061

Radix Representation

Decimal	6517060
Binary	11000110111000101000100 (23 bits)
Octal	0o30670504
Hexadecimal	0x637144

Divisor Catalog (36)

1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1,210 2,420 2,693 5,386 10,772 13,465 26,930 29,623 53,860 59,246 118,492 148,115 296,230 325,853 592,460 651,706 1,303,412 1,629,265 3,258,530 6,517,060

Collatz Trajectory (116 steps to reach 1)

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

6,517,060 3,258,530 1,629,265 4,887,796 2,443,898 1,221,949 3,665,848 1,832,924 916,462 458,231 1,374,694 687,347 2,062,042 1,031,021 3,093,064 1,546,532 773,266 386,633 1,159,900 579,950 289,975 869,926 434,963 1,304,890 652,445 1,957,336 978,668 489,334 244,667 734,002 367,001 1,101,004 550,502 275,251 825,754 412,877 1,238,632 619,316 309,658 154,829 464,488 232,244 116,122 58,061 174,184 87,092 43,546 21,773 65,320 32,660 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892

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