8,260,288

2⁶ × 19 × 6793

Starting at 8,260,288, the Collatz iteration reaches 1 after 106 steps. The first transition is 4130144; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 19 × 6793

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 17,256,760

Proper Divisor Sum 8,996,472

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8260277 ← → #8260309

Radix Representation

Decimal	8260288
Binary	11111100000101011000000 (23 bits)
Octal	0o37405300
Hexadecimal	0x7E0AC0

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 6,793 13,586 27,172 54,344 108,688 129,067 217,376 258,134 434,752 516,268 1,032,536 2,065,072 4,130,144 8,260,288

Collatz Trajectory (106 steps to reach 1)

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

8,260,288 4,130,144 2,065,072 1,032,536 516,268 258,134 129,067 387,202 193,601 580,804 290,402 145,201 435,604 217,802 108,901 326,704 163,352 81,676 40,838 20,419 61,258 30,629 91,888 45,944 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738

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