9,896,289

3 × 13 × 253751

Starting at 9,896,289, the Collatz iteration reaches 1 after 220 steps. The first transition is 29688868; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 253751

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,210,112

Proper Divisor Sum 4,313,823

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #9896281 ← → #9896291

Radix Representation

Decimal	9896289
Binary	100101110000000101100001 (24 bits)
Octal	0o45600541
Hexadecimal	0x970161

Divisor Catalog (8)

1 3 13 39 253,751 761,253 3,298,763 9,896,289

Collatz Trajectory (220 steps to reach 1)

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

9,896,289 29,688,868 14,844,434 7,422,217 22,266,652 11,133,326 5,566,663 16,699,990 8,349,995 25,049,986 12,524,993 37,574,980 18,787,490 9,393,745 28,181,236 14,090,618 7,045,309 21,135,928 10,567,964 5,283,982 2,641,991 7,925,974 3,962,987 11,888,962 5,944,481 17,833,444 8,916,722 4,458,361 13,375,084 6,687,542 3,343,771 10,031,314 5,015,657 15,046,972 7,523,486 3,761,743 11,285,230 5,642,615 16,927,846 8,463,923 25,391,770 12,695,885 38,087,656 19,043,828 9,521,914 4,760,957 14,282,872 7,141,436 3,570,718 1,785,359 5,356,078 2,678,039 8,034,118 4,017,059 12,051,178 6,025,589 18,076,768 9,038,384 4,519,192 2,259,596

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