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Atlas › Integer Profiles › Node 3,673,400

3,673,400

23 × 52 × 18367
Abundant Even Composite

3,673,400 factors as 2^3 × 5^2 × 18367. Its 24 positive divisors give a proper-divisor sum of 4,867,720, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 18367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,541,120
Proper Divisor Sum 4,867,720
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3673393 ← → #3673429

Radix Representation

Decimal 3673400
Binary 1110000000110100111000 (22 bits)
Octal 0o16006470
Hexadecimal 0x380D38

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 18,367 36,734 73,468 91,835 146,936 183,670 367,340 459,175 734,680 918,350 1,836,700 3,673,400

Collatz Trajectory (172 steps to reach 1)

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

3,673,400 1,836,700 918,350 459,175 1,377,526 688,763 2,066,290 1,033,145 3,099,436 1,549,718 774,859 2,324,578 1,162,289 3,486,868 1,743,434 871,717 2,615,152 1,307,576 653,788 326,894 163,447 490,342 245,171 735,514 367,757 1,103,272 551,636 275,818 137,909 413,728 206,864 103,432 51,716 25,858 12,929 38,788 19,394 9,697 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308

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