208,994

2 × 83 × 1259

Starting at 208,994, the Collatz iteration reaches 1 after 279 steps. The first transition is 104497; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 83 × 1259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 317,520

Proper Divisor Sum 108,526

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #208993 ← → #208997

Radix Representation

Decimal	208994
Binary	110011000001100010 (18 bits)
Octal	0o630142
Hexadecimal	0x33062

Divisor Catalog (8)

1 2 83 166 1,259 2,518 104,497 208,994

Collatz Trajectory (279 steps to reach 1)

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

208,994 104,497 313,492 156,746 78,373 235,120 117,560 58,780 29,390 14,695 44,086 22,043 66,130 33,065 99,196 49,598 24,799 74,398 37,199 111,598 55,799 167,398 83,699 251,098 125,549 376,648 188,324 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177 357,532 178,766 89,383 268,150 134,075 402,226 201,113 603,340 301,670 150,835 452,506 226,253 678,760 339,380 169,690 84,845 254,536 127,268 63,634 31,817 95,452 47,726

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