8,354,290

2 × 5 × 7 × 23 × 5189

Starting at 8,354,290, the Collatz iteration reaches 1 after 181 steps. The first transition is 4177145; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 23 × 5189

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,936,640

Proper Divisor Sum 9,582,350

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8354287 ← → #8354303

Radix Representation

Decimal	8354290
Binary	11111110111100111110010 (23 bits)
Octal	0o37674762
Hexadecimal	0x7F79F2

Divisor Catalog (32)

1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1,610 5,189 10,378 25,945 36,323 51,890 72,646 119,347 181,615 238,694 363,230 596,735 835,429 1,193,470 1,670,858 4,177,145 8,354,290

Collatz Trajectory (181 steps to reach 1)

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

8,354,290 4,177,145 12,531,436 6,265,718 3,132,859 9,398,578 4,699,289 14,097,868 7,048,934 3,524,467 10,573,402 5,286,701 15,860,104 7,930,052 3,965,026 1,982,513 5,947,540 2,973,770 1,486,885 4,460,656 2,230,328 1,115,164 557,582 278,791 836,374 418,187 1,254,562 627,281 1,881,844 940,922 470,461 1,411,384 705,692 352,846 176,423 529,270 264,635 793,906 396,953 1,190,860 595,430 297,715 893,146 446,573 1,339,720 669,860 334,930 167,465 502,396 251,198 125,599 376,798 188,399 565,198 282,599 847,798 423,899 1,271,698 635,849 1,907,548

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