6,463,986

2 × 3 × 53 × 20327

Starting at 6,463,986, the Collatz iteration reaches 1 after 209 steps. The first transition is 3231993; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 20327

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,172,544

Proper Divisor Sum 6,708,558

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6463979 ← → #6463991

Radix Representation

Decimal	6463986
Binary	11000101010000111110010 (23 bits)
Octal	0o30520762
Hexadecimal	0x62A1F2

Divisor Catalog (16)

1 2 3 6 53 106 159 318 20,327 40,654 60,981 121,962 1,077,331 2,154,662 3,231,993 6,463,986

Collatz Trajectory (209 steps to reach 1)

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

6,463,986 3,231,993 9,695,980 4,847,990 2,423,995 7,271,986 3,635,993 10,907,980 5,453,990 2,726,995 8,180,986 4,090,493 12,271,480 6,135,740 3,067,870 1,533,935 4,601,806 2,300,903 6,902,710 3,451,355 10,354,066 5,177,033 15,531,100 7,765,550 3,882,775 11,648,326 5,824,163 17,472,490 8,736,245 26,208,736 13,104,368 6,552,184 3,276,092 1,638,046 819,023 2,457,070 1,228,535 3,685,606 1,842,803 5,528,410 2,764,205 8,292,616 4,146,308 2,073,154 1,036,577 3,109,732 1,554,866 777,433 2,332,300 1,166,150 583,075 1,749,226 874,613 2,623,840 1,311,920 655,960 327,980 163,990 81,995 245,986

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