6,543,440

2⁴ × 5 × 263 × 311

Starting at 6,543,440, the Collatz iteration reaches 1 after 147 steps. The first transition is 3271720; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 263 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 15,320,448

Proper Divisor Sum 8,777,008

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6543403 ← → #6543443

Radix Representation

Decimal	6543440
Binary	11000111101100001010000 (23 bits)
Octal	0o30754120
Hexadecimal	0x63D850

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 263 311 526 622 1,052 1,244 1,315 1,555 2,104 2,488 2,630 3,110 4,208 4,976 5,260 6,220 10,520 12,440 21,040 24,880 81,793 163,586 327,172 408,965 654,344 817,930 1,308,688 1,635,860 3,271,720 6,543,440

Collatz Trajectory (147 steps to reach 1)

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

6,543,440 3,271,720 1,635,860 817,930 408,965 1,226,896 613,448 306,724 153,362 76,681 230,044 115,022 57,511 172,534 86,267 258,802 129,401 388,204 194,102 97,051 291,154 145,577 436,732 218,366 109,183 327,550 163,775 491,326 245,663 736,990 368,495 1,105,486 552,743 1,658,230 829,115 2,487,346 1,243,673 3,731,020 1,865,510 932,755 2,798,266 1,399,133 4,197,400 2,098,700 1,049,350 524,675 1,574,026 787,013 2,361,040 1,180,520 590,260 295,130 147,565 442,696 221,348 110,674 55,337 166,012 83,006 41,503

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