λ
Prime Ledger

1,272,438

2 × 32 × 223 × 317
Abundant Even Composite

1,272,438 has the prime decomposition 2 × 3^2 × 223 × 317. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 223 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,778,048
Proper Divisor Sum 1,505,610
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1272421 ← → #1272443

Radix Representation

Decimal 1272438
Binary 100110110101001110110 (21 bits)
Octal 0o4665166
Hexadecimal 0x136A76

Divisor Catalog (24)

1 2 3 6 9 18 223 317 446 634 669 951 1,338 1,902 2,007 2,853 4,014 5,706 70,691 141,382 212,073 424,146 636,219 1,272,438

Collatz Trajectory (80 steps to reach 1)

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

1,272,438 636,219 1,908,658 954,329 2,862,988 1,431,494 715,747 2,147,242 1,073,621 3,220,864 1,610,432 805,216 402,608 201,304 100,652 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38

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