λ
Prime Ledger

743,836

22 × 185959
Deficient Even Composite

743,836 has the prime decomposition 2^2 × 185959. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 185959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,301,720
Proper Divisor Sum 557,884
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #743833 ← → #743837

Radix Representation

Decimal 743836
Binary 10110101100110011100 (20 bits)
Octal 0o2654634
Hexadecimal 0xB599C

Divisor Catalog (6)

1 2 4 185,959 371,918 743,836

Collatz Trajectory (167 steps to reach 1)

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

743,836 371,918 185,959 557,878 278,939 836,818 418,409 1,255,228 627,614 313,807 941,422 470,711 1,412,134 706,067 2,118,202 1,059,101 3,177,304 1,588,652 794,326 397,163 1,191,490 595,745 1,787,236 893,618 446,809 1,340,428 670,214 335,107 1,005,322 502,661 1,507,984 753,992 376,996 188,498 94,249 282,748 141,374 70,687 212,062 106,031 318,094 159,047 477,142 238,571 715,714 357,857 1,073,572 536,786 268,393 805,180 402,590 201,295 603,886 301,943 905,830 452,915 1,358,746 679,373 2,038,120 1,019,060

More profiles

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