208,870

2 × 5 × 20887

Starting at 208,870, the Collatz iteration reaches 1 after 85 steps. The first transition is 104435; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 20887

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 375,984

Proper Divisor Sum 167,114

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #208843 ← → #208877

Radix Representation

Decimal	208870
Binary	110010111111100110 (18 bits)
Octal	0o627746
Hexadecimal	0x32FE6

Divisor Catalog (8)

1 2 5 10 20,887 41,774 104,435 208,870

Collatz Trajectory (85 steps to reach 1)

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

208,870 104,435 313,306 156,653 469,960 234,980 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937 752,812 376,406 188,203 564,610 282,305 846,916 423,458 211,729 635,188 317,594 158,797 476,392 238,196 119,098 59,549 178,648 89,324 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325

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