6,904,170

2 × 3³ × 5 × 7 × 13 × 281

Starting at 6,904,170, the Collatz iteration reaches 1 after 98 steps. The first transition is 3452085; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 13 × 281

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 22,740,480

Proper Divisor Sum 15,836,310

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6904133 ← → #6904171

Radix Representation

Decimal	6904170
Binary	11010010101100101101010 (23 bits)
Octal	0o32254552
Hexadecimal	0x69596A

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 281 315 351 378 390 455 546 562 585 630 702 819 843 910 945 1,170 1,365 1,405 1,638 1,686 1,755

Collatz Trajectory (98 steps to reach 1)

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

6,904,170 3,452,085 10,356,256 5,178,128 2,589,064 1,294,532 647,266 323,633 970,900 485,450 242,725 728,176 364,088 182,044 91,022 45,511 136,534 68,267 204,802 102,401 307,204 153,602 76,801 230,404 115,202 57,601 172,804 86,402 43,201 129,604 64,802 32,401 97,204 48,602 24,301 72,904 36,452 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203

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