9,198,258

2 × 3 × 17 × 31 × 2909

Starting at 9,198,258, the Collatz iteration reaches 1 after 194 steps. The first transition is 4599129; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 31 × 2909

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,113,920

Proper Divisor Sum 10,915,662

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9198257 ← → #9198269

Radix Representation

Decimal	9198258
Binary	100011000101101010110010 (24 bits)
Octal	0o43055262
Hexadecimal	0x8C5AB2

Divisor Catalog (32)

1 2 3 6 17 31 34 51 62 93 102 186 527 1,054 1,581 2,909 3,162 5,818 8,727 17,454 49,453 90,179 98,906 148,359 180,358 270,537 296,718 541,074 1,533,043 3,066,086 4,599,129 9,198,258

Collatz Trajectory (194 steps to reach 1)

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

9,198,258 4,599,129 13,797,388 6,898,694 3,449,347 10,348,042 5,174,021 15,522,064 7,761,032 3,880,516 1,940,258 970,129 2,910,388 1,455,194 727,597 2,182,792 1,091,396 545,698 272,849 818,548 409,274 204,637 613,912 306,956 153,478 76,739 230,218 115,109 345,328 172,664 86,332 43,166 21,583 64,750 32,375 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622

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