λ
Sequence Observatory

1,231,748

22 × 7 × 43991
Abundant Even Composite

Starting at 1,231,748, the Collatz iteration reaches 1 after 204 steps. The first transition is 615874; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 43991
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,463,552
Proper Divisor Sum 1,231,804
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1231733 ← → #1231753

Radix Representation

Decimal 1231748
Binary 100101100101110000100 (21 bits)
Octal 0o4545604
Hexadecimal 0x12CB84

Divisor Catalog (12)

1 2 4 7 14 28 43,991 87,982 175,964 307,937 615,874 1,231,748

Collatz Trajectory (204 steps to reach 1)

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

1,231,748 615,874 307,937 923,812 461,906 230,953 692,860 346,430 173,215 519,646 259,823 779,470 389,735 1,169,206 584,603 1,753,810 876,905 2,630,716 1,315,358 657,679 1,973,038 986,519 2,959,558 1,479,779 4,439,338 2,219,669 6,659,008 3,329,504 1,664,752 832,376 416,188 208,094 104,047 312,142 156,071 468,214 234,107 702,322 351,161 1,053,484 526,742 263,371 790,114 395,057 1,185,172 592,586 296,293 888,880 444,440 222,220 111,110 55,555 166,666 83,333 250,000 125,000 62,500 31,250 15,625 46,876

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