1,296,285

3 × 5 × 89 × 971

Starting at 1,296,285, the Collatz iteration reaches 1 after 248 steps. The first transition is 3888856; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 89 × 971

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,099,520

Proper Divisor Sum 803,235

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1296283 ← → #1296287

Radix Representation

Decimal	1296285
Binary	100111100011110011101 (21 bits)
Octal	0o4743635
Hexadecimal	0x13C79D

Divisor Catalog (16)

1 3 5 15 89 267 445 971 1,335 2,913 4,855 14,565 86,419 259,257 432,095 1,296,285

Collatz Trajectory (248 steps to reach 1)

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

1,296,285 3,888,856 1,944,428 972,214 486,107 1,458,322 729,161 2,187,484 1,093,742 546,871 1,640,614 820,307 2,460,922 1,230,461 3,691,384 1,845,692 922,846 461,423 1,384,270 692,135 2,076,406 1,038,203 3,114,610 1,557,305 4,671,916 2,335,958 1,167,979 3,503,938 1,751,969 5,255,908 2,627,954 1,313,977 3,941,932 1,970,966 985,483 2,956,450 1,478,225 4,434,676 2,217,338 1,108,669 3,326,008 1,663,004 831,502 415,751 1,247,254 623,627 1,870,882 935,441 2,806,324 1,403,162 701,581 2,104,744 1,052,372 526,186 263,093 789,280 394,640 197,320 98,660 49,330

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