9,201,807

3² × 53 × 101 × 191

Starting at 9,201,807, the Collatz iteration reaches 1 after 88 steps. The first transition is 27605422; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 53 × 101 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,747,968

Proper Divisor Sum 4,546,161

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9201779 ← → #9201821

Radix Representation

Decimal	9201807
Binary	100011000110100010001111 (24 bits)
Octal	0o43064217
Hexadecimal	0x8C688F

Divisor Catalog (24)

1 3 9 53 101 159 191 303 477 573 909 1,719 5,353 10,123 16,059 19,291 30,369 48,177 57,873 91,107 173,619 1,022,423 3,067,269 9,201,807

Collatz Trajectory (88 steps to reach 1)

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

9,201,807 27,605,422 13,802,711 41,408,134 20,704,067 62,112,202 31,056,101 93,168,304 46,584,152 23,292,076 11,646,038 5,823,019 17,469,058 8,734,529 26,203,588 13,101,794 6,550,897 19,652,692 9,826,346 4,913,173 14,739,520 7,369,760 3,684,880 1,842,440 921,220 460,610 230,305 690,916 345,458 172,729 518,188 259,094 129,547 388,642 194,321 582,964 291,482 145,741 437,224 218,612 109,306 54,653 163,960 81,980 40,990 20,495 61,486 30,743 92,230 46,115 138,346 69,173 207,520 103,760 51,880 25,940 12,970 6,485 19,456 9,728

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