8,556,864

2⁶ × 3 × 41 × 1087

Starting at 8,556,864, the Collatz iteration reaches 1 after 75 steps. The first transition is 4278432; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 41 × 1087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 23,213,568

Proper Divisor Sum 14,656,704

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8556853 ← → #8556869

Radix Representation

Decimal	8556864
Binary	100000101001000101000000 (24 bits)
Octal	0o40510500
Hexadecimal	0x829140

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1,087 1,312 1,968 2,174 2,624 3,261 3,936 4,348 6,522 7,872 8,696 13,044 17,392 26,088 34,784 44,567 52,176 69,568 89,134 104,352 133,701 178,268 208,704 267,402 356,536 534,804 713,072 1,069,608 1,426,144 2,139,216 2,852,288 4,278,432 8,556,864

Collatz Trajectory (75 steps to reach 1)

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

8,556,864 4,278,432 2,139,216 1,069,608 534,804 267,402 133,701 401,104 200,552 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7

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