λ
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635,832

23 × 32 × 8831
Abundant Even Composite

635,832 factors as 2^3 × 3^2 × 8831. Its 24 positive divisors give a proper-divisor sum of 1,086,408, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 8831
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,722,240
Proper Divisor Sum 1,086,408
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #635821 ← → #635837

Radix Representation

Decimal 635832
Binary 10011011001110111000 (20 bits)
Octal 0o2331670
Hexadecimal 0x9B3B8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 8,831 17,662 26,493 35,324 52,986 70,648 79,479 105,972 158,958 211,944 317,916 635,832

Collatz Trajectory (123 steps to reach 1)

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

635,832 317,916 158,958 79,479 238,438 119,219 357,658 178,829 536,488 268,244 134,122 67,061 201,184 100,592 50,296 25,148 12,574 6,287 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040

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