99,214

2 × 113 × 439

Starting at 99,214, the Collatz iteration reaches 1 after 190 steps. The first transition is 49607; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 113 × 439

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 150,480

Proper Divisor Sum 51,266

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #99191 ← → #99223

Radix Representation

Decimal	99214
Binary	11000001110001110 (17 bits)
Octal	0o301616
Hexadecimal	0x1838E

Divisor Catalog (8)

1 2 113 226 439 878 49,607 99,214

Collatz Trajectory (190 steps to reach 1)

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

99,214 49,607 148,822 74,411 223,234 111,617 334,852 167,426 83,713 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666

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