6,412,750

2 × 5³ × 113 × 227

Starting at 6,412,750, the Collatz iteration reaches 1 after 121 steps. The first transition is 3206375; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 113 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,164,256

Proper Divisor Sum 5,751,506

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6412739 ← → #6412759

Radix Representation

Decimal	6412750
Binary	11000011101100111001110 (23 bits)
Octal	0o30354716
Hexadecimal	0x61D9CE

Divisor Catalog (32)

1 2 5 10 25 50 113 125 226 227 250 454 565 1,130 1,135 2,270 2,825 5,650 5,675 11,350 14,125 25,651 28,250 28,375 51,302 56,750 128,255 256,510 641,275 1,282,550 3,206,375 6,412,750

Collatz Trajectory (121 steps to reach 1)

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

6,412,750 3,206,375 9,619,126 4,809,563 14,428,690 7,214,345 21,643,036 10,821,518 5,410,759 16,232,278 8,116,139 24,348,418 12,174,209 36,522,628 18,261,314 9,130,657 27,391,972 13,695,986 6,847,993 20,543,980 10,271,990 5,135,995 15,407,986 7,703,993 23,111,980 11,555,990 5,777,995 17,333,986 8,666,993 26,000,980 13,000,490 6,500,245 19,500,736 9,750,368 4,875,184 2,437,592 1,218,796 609,398 304,699 914,098 457,049 1,371,148 685,574 342,787 1,028,362 514,181 1,542,544 771,272 385,636 192,818 96,409 289,228 144,614 72,307 216,922 108,461 325,384 162,692 81,346 40,673

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