9,942,086

2 × 7 × 11² × 5869

Starting at 9,942,086, the Collatz iteration reaches 1 after 114 steps. The first transition is 4971043; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 5869

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,737,040

Proper Divisor Sum 8,794,954

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9942077 ← → #9942133

Radix Representation

Decimal	9942086
Binary	100101111011010001000110 (24 bits)
Octal	0o45732106
Hexadecimal	0x97B446

Divisor Catalog (24)

1 2 7 11 14 22 77 121 154 242 847 1,694 5,869 11,738 41,083 64,559 82,166 129,118 451,913 710,149 903,826 1,420,298 4,971,043 9,942,086

Collatz Trajectory (114 steps to reach 1)

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

9,942,086 4,971,043 14,913,130 7,456,565 22,369,696 11,184,848 5,592,424 2,796,212 1,398,106 699,053 2,097,160 1,048,580 524,290 262,145 786,436 393,218 196,609 589,828 294,914 147,457 442,372 221,186 110,593 331,780 165,890 82,945 248,836 124,418 62,209 186,628 93,314 46,657 139,972 69,986 34,993 104,980 52,490 26,245 78,736 39,368 19,684 9,842 4,921 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516

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