1,028,649

3 × 41 × 8363

Starting at 1,028,649, the Collatz iteration reaches 1 after 214 steps. The first transition is 3085948; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 41 × 8363

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,405,152

Proper Divisor Sum 376,503

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1028647 ← → #1028663

Radix Representation

Decimal	1028649
Binary	11111011001000101001 (20 bits)
Octal	0o3731051
Hexadecimal	0xFB229

Divisor Catalog (8)

1 3 41 123 8,363 25,089 342,883 1,028,649

Collatz Trajectory (214 steps to reach 1)

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

1,028,649 3,085,948 1,542,974 771,487 2,314,462 1,157,231 3,471,694 1,735,847 5,207,542 2,603,771 7,811,314 3,905,657 11,716,972 5,858,486 2,929,243 8,787,730 4,393,865 13,181,596 6,590,798 3,295,399 9,886,198 4,943,099 14,829,298 7,414,649 22,243,948 11,121,974 5,560,987 16,682,962 8,341,481 25,024,444 12,512,222 6,256,111 18,768,334 9,384,167 28,152,502 14,076,251 42,228,754 21,114,377 63,343,132 31,671,566 15,835,783 47,507,350 23,753,675 71,261,026 35,630,513 106,891,540 53,445,770 26,722,885 80,168,656 40,084,328 20,042,164 10,021,082 5,010,541 15,031,624 7,515,812 3,757,906 1,878,953 5,636,860 2,818,430 1,409,215

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