8,288,008

2³ × 1036001

Starting at 8,288,008, the Collatz iteration reaches 1 after 124 steps. The first transition is 4144004; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1036001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,540,030

Proper Divisor Sum 7,252,022

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8287991 ← → #8288011

Radix Representation

Decimal	8288008
Binary	11111100111011100001000 (23 bits)
Octal	0o37473410
Hexadecimal	0x7E7708

Divisor Catalog (8)

1 2 4 8 1,036,001 2,072,002 4,144,004 8,288,008

Collatz Trajectory (124 steps to reach 1)

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

8,288,008 4,144,004 2,072,002 1,036,001 3,108,004 1,554,002 777,001 2,331,004 1,165,502 582,751 1,748,254 874,127 2,622,382 1,311,191 3,933,574 1,966,787 5,900,362 2,950,181 8,850,544 4,425,272 2,212,636 1,106,318 553,159 1,659,478 829,739 2,489,218 1,244,609 3,733,828 1,866,914 933,457 2,800,372 1,400,186 700,093 2,100,280 1,050,140 525,070 262,535 787,606 393,803 1,181,410 590,705 1,772,116 886,058 443,029 1,329,088 664,544 332,272 166,136 83,068 41,534 20,767 62,302 31,151 93,454 46,727 140,182 70,091 210,274 105,137 315,412

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