1,605,808

2⁴ × 100363

Starting at 1,605,808, the Collatz iteration reaches 1 after 163 steps. The first transition is 802904; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 100363

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 3,111,284

Proper Divisor Sum 1,505,476

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1605767 ← → #1605811

Radix Representation

Decimal	1605808
Binary	110001000000010110000 (21 bits)
Octal	0o6100260
Hexadecimal	0x1880B0

Divisor Catalog (10)

1 2 4 8 16 100,363 200,726 401,452 802,904 1,605,808

Collatz Trajectory (163 steps to reach 1)

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

1,605,808 802,904 401,452 200,726 100,363 301,090 150,545 451,636 225,818 112,909 338,728 169,364 84,682 42,341 127,024 63,512 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

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