8,052,594

2 × 3 × 11 × 17 × 7177

Starting at 8,052,594, the Collatz iteration reaches 1 after 186 steps. The first transition is 4026297; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 7177

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,605,376

Proper Divisor Sum 10,552,782

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8052587 ← → #8052601

Radix Representation

Decimal	8052594
Binary	11110101101111101110010 (23 bits)
Octal	0o36557562
Hexadecimal	0x7ADF72

Divisor Catalog (32)

1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1,122 7,177 14,354 21,531 43,062 78,947 122,009 157,894 236,841 244,018 366,027 473,682 732,054 1,342,099 2,684,198 4,026,297 8,052,594

Collatz Trajectory (186 steps to reach 1)

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

8,052,594 4,026,297 12,078,892 6,039,446 3,019,723 9,059,170 4,529,585 13,588,756 6,794,378 3,397,189 10,191,568 5,095,784 2,547,892 1,273,946 636,973 1,910,920 955,460 477,730 238,865 716,596 358,298 179,149 537,448 268,724 134,362 67,181 201,544 100,772 50,386 25,193 75,580 37,790 18,895 56,686 28,343 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082

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