8,998,598

2 × 7 × 41 × 61 × 257

Starting at 8,998,598, the Collatz iteration reaches 1 after 150 steps. The first transition is 4499299; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 61 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,123,968

Proper Divisor Sum 7,125,370

Digit Sum / Digital Root 56 (Root: 2)

Adjacent Primes #8998579 ← → #8998603

Radix Representation

Decimal	8998598
Binary	100010010100111011000110 (24 bits)
Octal	0o42247306
Hexadecimal	0x894EC6

Divisor Catalog (32)

1 2 7 14 41 61 82 122 257 287 427 514 574 854 1,799 2,501 3,598 5,002 10,537 15,677 17,507 21,074 31,354 35,014 73,759 109,739 147,518 219,478 642,757 1,285,514 4,499,299 8,998,598

Collatz Trajectory (150 steps to reach 1)

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

8,998,598 4,499,299 13,497,898 6,748,949 20,246,848 10,123,424 5,061,712 2,530,856 1,265,428 632,714 316,357 949,072 474,536 237,268 118,634 59,317 177,952 88,976 44,488 22,244 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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