9,785,427

3 × 37 × 199 × 443

Starting at 9,785,427, the Collatz iteration reaches 1 after 176 steps. The first transition is 29356282; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 199 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,497,600

Proper Divisor Sum 3,712,173

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9785423 ← → #9785449

Radix Representation

Decimal	9785427
Binary	100101010101000001010011 (24 bits)
Octal	0o45250123
Hexadecimal	0x955053

Divisor Catalog (16)

1 3 37 111 199 443 597 1,329 7,363 16,391 22,089 49,173 88,157 264,471 3,261,809 9,785,427

Collatz Trajectory (176 steps to reach 1)

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

9,785,427 29,356,282 14,678,141 44,034,424 22,017,212 11,008,606 5,504,303 16,512,910 8,256,455 24,769,366 12,384,683 37,154,050 18,577,025 55,731,076 27,865,538 13,932,769 41,798,308 20,899,154 10,449,577 31,348,732 15,674,366 7,837,183 23,511,550 11,755,775 35,267,326 17,633,663 52,900,990 26,450,495 79,351,486 39,675,743 119,027,230 59,513,615 178,540,846 89,270,423 267,811,270 133,905,635 401,716,906 200,858,453 602,575,360 301,287,680 150,643,840 75,321,920 37,660,960 18,830,480 9,415,240 4,707,620 2,353,810 1,176,905 3,530,716 1,765,358 882,679 2,648,038 1,324,019 3,972,058 1,986,029 5,958,088 2,979,044 1,489,522 744,761 2,234,284

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