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Atlas › Integer Profiles › Node 2,008,704

2,008,704

27 × 3 × 5231
Abundant Even Composite

2,008,704 factors as 2^7 × 3 × 5231. Its 32 positive divisors give a proper-divisor sum of 3,327,936, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 5231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,336,640
Proper Divisor Sum 3,327,936
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2008697 ← → #2008709

Radix Representation

Decimal 2008704
Binary 111101010011010000000 (21 bits)
Octal 0o7523200
Hexadecimal 0x1EA680

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5,231 10,462 15,693 20,924 31,386 41,848 62,772 83,696 125,544 167,392 251,088 334,784 502,176 669,568 1,004,352 2,008,704

Collatz Trajectory (184 steps to reach 1)

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

2,008,704 1,004,352 502,176 251,088 125,544 62,772 31,386 15,693 47,080 23,540 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125

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