6,441,490

2 × 5 × 11 × 31 × 1889

Starting at 6,441,490, the Collatz iteration reaches 1 after 209 steps. The first transition is 3220745; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 31 × 1889

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,063,680

Proper Divisor Sum 6,622,190

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6441481 ← → #6441497

Radix Representation

Decimal	6441490
Binary	11000100100101000010010 (23 bits)
Octal	0o30445022
Hexadecimal	0x624A12

Divisor Catalog (32)

1 2 5 10 11 22 31 55 62 110 155 310 341 682 1,705 1,889 3,410 3,778 9,445 18,890 20,779 41,558 58,559 103,895 117,118 207,790 292,795 585,590 644,149 1,288,298 3,220,745 6,441,490

Collatz Trajectory (209 steps to reach 1)

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

6,441,490 3,220,745 9,662,236 4,831,118 2,415,559 7,246,678 3,623,339 10,870,018 5,435,009 16,305,028 8,152,514 4,076,257 12,228,772 6,114,386 3,057,193 9,171,580 4,585,790 2,292,895 6,878,686 3,439,343 10,318,030 5,159,015 15,477,046 7,738,523 23,215,570 11,607,785 34,823,356 17,411,678 8,705,839 26,117,518 13,058,759 39,176,278 19,588,139 58,764,418 29,382,209 88,146,628 44,073,314 22,036,657 66,109,972 33,054,986 16,527,493 49,582,480 24,791,240 12,395,620 6,197,810 3,098,905 9,296,716 4,648,358 2,324,179 6,972,538 3,486,269 10,458,808 5,229,404 2,614,702 1,307,351 3,922,054 1,961,027 5,883,082 2,941,541 8,824,624

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