6,802,758

2 × 3³ × 263 × 479

Starting at 6,802,758, the Collatz iteration reaches 1 after 253 steps. The first transition is 3401379; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 263 × 479

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,206,400

Proper Divisor Sum 8,403,642

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6802753 ← → #6802777

Radix Representation

Decimal	6802758
Binary	11001111100110101000110 (23 bits)
Octal	0o31746506
Hexadecimal	0x67CD46

Divisor Catalog (32)

1 2 3 6 9 18 27 54 263 479 526 789 958 1,437 1,578 2,367 2,874 4,311 4,734 7,101 8,622 12,933 14,202 25,866 125,977 251,954 377,931 755,862 1,133,793 2,267,586 3,401,379 6,802,758

Collatz Trajectory (253 steps to reach 1)

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

6,802,758 3,401,379 10,204,138 5,102,069 15,306,208 7,653,104 3,826,552 1,913,276 956,638 478,319 1,434,958 717,479 2,152,438 1,076,219 3,228,658 1,614,329 4,842,988 2,421,494 1,210,747 3,632,242 1,816,121 5,448,364 2,724,182 1,362,091 4,086,274 2,043,137 6,129,412 3,064,706 1,532,353 4,597,060 2,298,530 1,149,265 3,447,796 1,723,898 861,949 2,585,848 1,292,924 646,462 323,231 969,694 484,847 1,454,542 727,271 2,181,814 1,090,907 3,272,722 1,636,361 4,909,084 2,454,542 1,227,271 3,681,814 1,840,907 5,522,722 2,761,361 8,284,084 4,142,042 2,071,021 6,213,064 3,106,532 1,553,266

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