1,021,585

5 × 59 × 3463

Starting at 1,021,585, the Collatz iteration reaches 1 after 289 steps. The first transition is 3064756; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 59 × 3463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,247,040

Proper Divisor Sum 225,455

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1021577 ← → #1021621

Radix Representation

Decimal	1021585
Binary	11111001011010010001 (20 bits)
Octal	0o3713221
Hexadecimal	0xF9691

Divisor Catalog (8)

1 5 59 295 3,463 17,315 204,317 1,021,585

Collatz Trajectory (289 steps to reach 1)

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

1,021,585 3,064,756 1,532,378 766,189 2,298,568 1,149,284 574,642 287,321 861,964 430,982 215,491 646,474 323,237 969,712 484,856 242,428 121,214 60,607 181,822 90,911 272,734 136,367 409,102 204,551 613,654 306,827 920,482 460,241 1,380,724 690,362 345,181 1,035,544 517,772 258,886 129,443 388,330 194,165 582,496 291,248 145,624 72,812 36,406 18,203 54,610 27,305 81,916 40,958 20,479 61,438 30,719 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279

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