6,828,380

2² × 5 × 13 × 26263

Starting at 6,828,380, the Collatz iteration reaches 1 after 103 steps. The first transition is 3414190; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 26263

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,443,232

Proper Divisor Sum 8,614,852

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6828377 ← → #6828383

Radix Representation

Decimal	6828380
Binary	11010000011000101011100 (23 bits)
Octal	0o32030534
Hexadecimal	0x68315C

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 26,263 52,526 105,052 131,315 262,630 341,419 525,260 682,838 1,365,676 1,707,095 3,414,190 6,828,380

Collatz Trajectory (103 steps to reach 1)

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

6,828,380 3,414,190 1,707,095 5,121,286 2,560,643 7,681,930 3,840,965 11,522,896 5,761,448 2,880,724 1,440,362 720,181 2,160,544 1,080,272 540,136 270,068 135,034 67,517 202,552 101,276 50,638 25,319 75,958 37,979 113,938 56,969 170,908 85,454 42,727 128,182 64,091 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219

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