208,859

7 × 29837

Starting at 208,859, the Collatz iteration reaches 1 after 155 steps. The first transition is 626578; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 29837

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 238,704

Proper Divisor Sum 29,845

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #208843 ← → #208877

Radix Representation

Decimal	208859
Binary	110010111111011011 (18 bits)
Octal	0o627733
Hexadecimal	0x32FDB

Divisor Catalog (4)

1 7 29,837 208,859

Collatz Trajectory (155 steps to reach 1)

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

208,859 626,578 313,289 939,868 469,934 234,967 704,902 352,451 1,057,354 528,677 1,586,032 793,016 396,508 198,254 99,127 297,382 148,691 446,074 223,037 669,112 334,556 167,278 83,639 250,918 125,459 376,378 188,189 564,568 282,284 141,142 70,571 211,714 105,857 317,572 158,786 79,393 238,180 119,090 59,545 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242 25,121 75,364 37,682 18,841 56,524 28,262 14,131 42,394 21,197 63,592 31,796 15,898 7,949

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