λ
Modular Archive

531,637

531637
Deficient Odd Prime

The decimal integer 531,637 is 10000001110010110101 in binary (20 bits), 2016265 in octal and 81CB5 in hexadecimal. Its digit sum is 25.

Prime Factor Structure

Factorization String 531637
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 531,638
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #531631 ← → #531667

Radix Representation

Decimal 531637
Binary 10000001110010110101 (20 bits)
Octal 0o2016265
Hexadecimal 0x81CB5

Divisor Catalog (2)

Collatz Trajectory (195 steps to reach 1)

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

531,637 1,594,912 797,456 398,728 199,364 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445

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