802,248

2³ × 3 × 33427

Starting at 802,248, the Collatz iteration reaches 1 after 162 steps. The first transition is 401124; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 33427

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,005,680

Proper Divisor Sum 1,203,432

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #802231 ← → #802253

Radix Representation

Decimal	802248
Binary	11000011110111001000 (20 bits)
Octal	0o3036710
Hexadecimal	0xC3DC8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 33,427 66,854 100,281 133,708 200,562 267,416 401,124 802,248

Collatz Trajectory (162 steps to reach 1)

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

802,248 401,124 200,562 100,281 300,844 150,422 75,211 225,634 112,817 338,452 169,226 84,613 253,840 126,920 63,460 31,730 15,865 47,596 23,798 11,899 35,698 17,849 53,548 26,774 13,387 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143

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