λ
Sigma Notebook

627,793

17 × 36929
Deficient Odd Composite

627,793 is odd and not a perfect square. Its factorization is 17 × 36929 and its 4 divisors sum to 664,740.

Prime Factor Structure

Factorization String 17 × 36929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 664,740
Proper Divisor Sum 36,947
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #627791 ← → #627797

Radix Representation

Decimal 627793
Binary 10011001010001010001 (20 bits)
Octal 0o2312121
Hexadecimal 0x99451

Divisor Catalog (4)

1 17 36,929 627,793

Collatz Trajectory (110 steps to reach 1)

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

627,793 1,883,380 941,690 470,845 1,412,536 706,268 353,134 176,567 529,702 264,851 794,554 397,277 1,191,832 595,916 297,958 148,979 446,938 223,469 670,408 335,204 167,602 83,801 251,404 125,702 62,851 188,554 94,277 282,832 141,416 70,708 35,354 17,677 53,032 26,516 13,258 6,629 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665

More profiles

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