9,892,038

2 × 3 × 13 × 31 × 4091

Starting at 9,892,038, the Collatz iteration reaches 1 after 176 steps. The first transition is 4946019; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 31 × 4091

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,998,592

Proper Divisor Sum 12,106,554

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9892037 ← → #9892039

Radix Representation

Decimal	9892038
Binary	100101101111000011000110 (24 bits)
Octal	0o45570306
Hexadecimal	0x96F0C6

Divisor Catalog (32)

1 2 3 6 13 26 31 39 62 78 93 186 403 806 1,209 2,418 4,091 8,182 12,273 24,546 53,183 106,366 126,821 159,549 253,642 319,098 380,463 760,926 1,648,673 3,297,346 4,946,019 9,892,038

Collatz Trajectory (176 steps to reach 1)

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

9,892,038 4,946,019 14,838,058 7,419,029 22,257,088 11,128,544 5,564,272 2,782,136 1,391,068 695,534 347,767 1,043,302 521,651 1,564,954 782,477 2,347,432 1,173,716 586,858 293,429 880,288 440,144 220,072 110,036 55,018 27,509 82,528 41,264 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292

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