9,845,064

2³ × 3⁴ × 15193

Starting at 9,845,064, the Collatz iteration reaches 1 after 168 steps. The first transition is 4922532; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 15193

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 27,577,110

Proper Divisor Sum 17,732,046

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9845063 ← → #9845083

Radix Representation

Decimal	9845064
Binary	100101100011100101001000 (24 bits)
Octal	0o45434510
Hexadecimal	0x963948

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15,193 30,386 45,579 60,772 91,158 121,544 136,737 182,316 273,474 364,632 410,211 546,948 820,422 1,093,896 1,230,633 1,640,844 2,461,266 3,281,688 4,922,532 9,845,064

Collatz Trajectory (168 steps to reach 1)

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

9,845,064 4,922,532 2,461,266 1,230,633 3,691,900 1,845,950 922,975 2,768,926 1,384,463 4,153,390 2,076,695 6,230,086 3,115,043 9,345,130 4,672,565 14,017,696 7,008,848 3,504,424 1,752,212 876,106 438,053 1,314,160 657,080 328,540 164,270 82,135 246,406 123,203 369,610 184,805 554,416 277,208 138,604 69,302 34,651 103,954 51,977 155,932 77,966 38,983 116,950 58,475 175,426 87,713 263,140 131,570 65,785 197,356 98,678 49,339 148,018 74,009 222,028 111,014 55,507 166,522 83,261 249,784 124,892 62,446

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