2,008,253

13 × 241 × 641

2,008,253 factors as 13 × 241 × 641. Its 8 positive divisors give a proper-divisor sum of 166,843, so this integer is deficient. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 13 × 241 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,175,096

Proper Divisor Sum 166,843

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2008247 ← → #2008271

Radix Representation

Decimal	2008253
Binary	111101010010010111101 (21 bits)
Octal	0o7522275
Hexadecimal	0x1EA4BD

Divisor Catalog (8)

1 13 241 641 3,133 8,333 154,481 2,008,253

Collatz Trajectory (65 steps to reach 1)

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

2,008,253 6,024,760 3,012,380 1,506,190 753,095 2,259,286 1,129,643 3,388,930 1,694,465 5,083,396 2,541,698 1,270,849 3,812,548 1,906,274 953,137 2,859,412 1,429,706 714,853 2,144,560 1,072,280 536,140 268,070 134,035 402,106 201,053 603,160 301,580 150,790 75,395 226,186 113,093 339,280 169,640 84,820 42,410 21,205 63,616 31,808 15,904 7,952 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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