8,386,040

2³ × 5 × 13 × 16127

Starting at 8,386,040, the Collatz iteration reaches 1 after 168 steps. The first transition is 4193020; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 16127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,321,280

Proper Divisor Sum 11,935,240

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8386039 ← → #8386067

Radix Representation

Decimal	8386040
Binary	11111111111010111111000 (23 bits)
Octal	0o37772770
Hexadecimal	0x7FF5F8

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 16,127 32,254 64,508 80,635 129,016 161,270 209,651 322,540 419,302 645,080 838,604 1,048,255 1,677,208 2,096,510 4,193,020 8,386,040

Collatz Trajectory (168 steps to reach 1)

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

8,386,040 4,193,020 2,096,510 1,048,255 3,144,766 1,572,383 4,717,150 2,358,575 7,075,726 3,537,863 10,613,590 5,306,795 15,920,386 7,960,193 23,880,580 11,940,290 5,970,145 17,910,436 8,955,218 4,477,609 13,432,828 6,716,414 3,358,207 10,074,622 5,037,311 15,111,934 7,555,967 22,667,902 11,333,951 34,001,854 17,000,927 51,002,782 25,501,391 76,504,174 38,252,087 114,756,262 57,378,131 172,134,394 86,067,197 258,201,592 129,100,796 64,550,398 32,275,199 96,825,598 48,412,799 145,238,398 72,619,199 217,857,598 108,928,799 326,786,398 163,393,199 490,179,598 245,089,799 735,269,398 367,634,699 1,102,904,098 551,452,049 1,654,356,148 827,178,074 413,589,037

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