λ
Modular Archive

531,002

2 × 73 × 3637
Deficient Even Composite

The decimal integer 531,002 is 10000001101000111010 in binary (20 bits), 2015072 in octal and 81A3A in hexadecimal. Its digit sum is 11.

Prime Factor Structure

Factorization String 2 × 73 × 3637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 807,636
Proper Divisor Sum 276,634
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #530989 ← → #531017

Radix Representation

Decimal 531002
Binary 10000001101000111010 (20 bits)
Octal 0o2015072
Hexadecimal 0x81A3A

Divisor Catalog (8)

1 2 73 146 3,637 7,274 265,501 531,002

Collatz Trajectory (208 steps to reach 1)

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

531,002 265,501 796,504 398,252 199,126 99,563 298,690 149,345 448,036 224,018 112,009 336,028 168,014 84,007 252,022 126,011 378,034 189,017 567,052 283,526 141,763 425,290 212,645 637,936 318,968 159,484 79,742 39,871 119,614 59,807 179,422 89,711 269,134 134,567 403,702 201,851 605,554 302,777 908,332 454,166 227,083 681,250 340,625 1,021,876 510,938 255,469 766,408 383,204 191,602 95,801 287,404 143,702 71,851 215,554 107,777 323,332 161,666 80,833 242,500 121,250

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