8,064,290

2 × 5 × 13 × 17 × 41 × 89

Starting at 8,064,290, the Collatz iteration reaches 1 after 142 steps. The first transition is 4032145; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 41 × 89

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,146,080

Proper Divisor Sum 9,081,790

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8064271 ← → #8064293

Radix Representation

Decimal	8064290
Binary	11110110000110100100010 (23 bits)
Octal	0o36606442
Hexadecimal	0x7B0D22

Divisor Catalog (60 of 64)

1 2 5 10 13 17 26 34 41 65 82 85 89 130 170 178 205 221 410 442 445 533 697 890 1,066 1,105 1,157 1,394 1,513 2,210 2,314 2,665 3,026 3,485 3,649 5,330 5,785 6,970 7,298 7,565 9,061 11,570 15,130 18,122 18,245 19,669 36,490 39,338 45,305 47,437 62,033 90,610 94,874 98,345 124,066 196,690 237,185 310,165 474,370 620,330

Collatz Trajectory (142 steps to reach 1)

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

8,064,290 4,032,145 12,096,436 6,048,218 3,024,109 9,072,328 4,536,164 2,268,082 1,134,041 3,402,124 1,701,062 850,531 2,551,594 1,275,797 3,827,392 1,913,696 956,848 478,424 239,212 119,606 59,803 179,410 89,705 269,116 134,558 67,279 201,838 100,919 302,758 151,379 454,138 227,069 681,208 340,604 170,302 85,151 255,454 127,727 383,182 191,591 574,774 287,387 862,162 431,081 1,293,244 646,622 323,311 969,934 484,967 1,454,902 727,451 2,182,354 1,091,177 3,273,532 1,636,766 818,383 2,455,150 1,227,575 3,682,726 1,841,363

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