λ
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632,008

23 × 13 × 59 × 103
Abundant Even Composite

632,008 factors as 2^3 × 13 × 59 × 103. Its 32 positive divisors give a proper-divisor sum of 678,392, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 59 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,310,400
Proper Divisor Sum 678,392
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #631993 ← → #632029

Radix Representation

Decimal 632008
Binary 10011010010011001000 (20 bits)
Octal 0o2322310
Hexadecimal 0x9A4C8

Divisor Catalog (32)

1 2 4 8 13 26 52 59 103 104 118 206 236 412 472 767 824 1,339 1,534 2,678 3,068 5,356 6,077 6,136 10,712 12,154 24,308 48,616 79,001 158,002 316,004 632,008

Collatz Trajectory (172 steps to reach 1)

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

632,008 316,004 158,002 79,001 237,004 118,502 59,251 177,754 88,877 266,632 133,316 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674

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