λ
Sequence Observatory

1,355,748

22 × 3 × 112979
Abundant Even Composite

Starting at 1,355,748, the Collatz iteration reaches 1 after 111 steps. The first transition is 677874; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 112979
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,163,440
Proper Divisor Sum 1,807,692
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1355743 ← → #1355749

Radix Representation

Decimal 1355748
Binary 101001010111111100100 (21 bits)
Octal 0o5127744
Hexadecimal 0x14AFE4

Divisor Catalog (12)

1 2 3 4 6 12 112,979 225,958 338,937 451,916 677,874 1,355,748

Collatz Trajectory (111 steps to reach 1)

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

1,355,748 677,874 338,937 1,016,812 508,406 254,203 762,610 381,305 1,143,916 571,958 285,979 857,938 428,969 1,286,908 643,454 321,727 965,182 482,591 1,447,774 723,887 2,171,662 1,085,831 3,257,494 1,628,747 4,886,242 2,443,121 7,329,364 3,664,682 1,832,341 5,497,024 2,748,512 1,374,256 687,128 343,564 171,782 85,891 257,674 128,837 386,512 193,256 96,628 48,314 24,157 72,472 36,236 18,118 9,059 27,178 13,589 40,768 20,384 10,192 5,096 2,548 1,274 637 1,912 956 478 239

More profiles

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