9,198,162

2 × 3² × 29 × 67 × 263

Starting at 9,198,162, the Collatz iteration reaches 1 after 106 steps. The first transition is 4599081; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 67 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,003,840

Proper Divisor Sum 11,805,678

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9198157 ← → #9198169

Radix Representation

Decimal	9198162
Binary	100011000101101001010010 (24 bits)
Octal	0o43055122
Hexadecimal	0x8C5A52

Divisor Catalog (48)

1 2 3 6 9 18 29 58 67 87 134 174 201 261 263 402 522 526 603 789 1,206 1,578 1,943 2,367 3,886 4,734 5,829 7,627 11,658 15,254 17,487 17,621 22,881 34,974 35,242 45,762 52,863 68,643 105,726 137,286 158,589 317,178 511,009 1,022,018 1,533,027 3,066,054 4,599,081 9,198,162

Collatz Trajectory (106 steps to reach 1)

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

9,198,162 4,599,081 13,797,244 6,898,622 3,449,311 10,347,934 5,173,967 15,521,902 7,760,951 23,282,854 11,641,427 34,924,282 17,462,141 52,386,424 26,193,212 13,096,606 6,548,303 19,644,910 9,822,455 29,467,366 14,733,683 44,201,050 22,100,525 66,301,576 33,150,788 16,575,394 8,287,697 24,863,092 12,431,546 6,215,773 18,647,320 9,323,660 4,661,830 2,330,915 6,992,746 3,496,373 10,489,120 5,244,560 2,622,280 1,311,140 655,570 327,785 983,356 491,678 245,839 737,518 368,759 1,106,278 553,139 1,659,418 829,709 2,489,128 1,244,564 622,282 311,141 933,424 466,712 233,356 116,678 58,339

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