6,841,675

5² × 211 × 1297

Starting at 6,841,675, the Collatz iteration reaches 1 after 77 steps. The first transition is 20525026; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 211 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,530,456

Proper Divisor Sum 1,688,781

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6841673 ← → #6841727

Radix Representation

Decimal	6841675
Binary	11010000110010101001011 (23 bits)
Octal	0o32062513
Hexadecimal	0x68654B

Divisor Catalog (12)

1 5 25 211 1,055 1,297 5,275 6,485 32,425 273,667 1,368,335 6,841,675

Collatz Trajectory (77 steps to reach 1)

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

6,841,675 20,525,026 10,262,513 30,787,540 15,393,770 7,696,885 23,090,656 11,545,328 5,772,664 2,886,332 1,443,166 721,583 2,164,750 1,082,375 3,247,126 1,623,563 4,870,690 2,435,345 7,306,036 3,653,018 1,826,509 5,479,528 2,739,764 1,369,882 684,941 2,054,824 1,027,412 513,706 256,853 770,560 385,280 192,640 96,320 48,160 24,080 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208

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