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Atlas › Integer Profiles › Node 2,008,100

2,008,100

22 × 52 × 43 × 467
Abundant Even Composite

2,008,100 factors as 2^2 × 5^2 × 43 × 467. Its 36 positive divisors give a proper-divisor sum of 2,460,364, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 43 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,468,464
Proper Divisor Sum 2,460,364
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2008081 ← → #2008103

Radix Representation

Decimal 2008100
Binary 111101010010000100100 (21 bits)
Octal 0o7522044
Hexadecimal 0x1EA424

Divisor Catalog (36)

1 2 4 5 10 20 25 43 50 86 100 172 215 430 467 860 934 1,075 1,868 2,150 2,335 4,300 4,670 9,340 11,675 20,081 23,350 40,162 46,700 80,324 100,405 200,810 401,620 502,025 1,004,050 2,008,100

Collatz Trajectory (153 steps to reach 1)

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

2,008,100 1,004,050 502,025 1,506,076 753,038 376,519 1,129,558 564,779 1,694,338 847,169 2,541,508 1,270,754 635,377 1,906,132 953,066 476,533 1,429,600 714,800 357,400 178,700 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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