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Atlas › Integer Profiles › Node 2,050,360

2,050,360

23 × 5 × 13 × 3943
Abundant Even Composite

2,050,360 factors as 2^3 × 5 × 13 × 3943. Its 32 positive divisors give a proper-divisor sum of 2,919,080, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 3943
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,969,440
Proper Divisor Sum 2,919,080
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2050357 ← → #2050361

Radix Representation

Decimal 2050360
Binary 111110100100100111000 (21 bits)
Octal 0o7644470
Hexadecimal 0x1F4938

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3,943 7,886 15,772 19,715 31,544 39,430 51,259 78,860 102,518 157,720 205,036 256,295 410,072 512,590 1,025,180 2,050,360

Collatz Trajectory (104 steps to reach 1)

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

2,050,360 1,025,180 512,590 256,295 768,886 384,443 1,153,330 576,665 1,729,996 864,998 432,499 1,297,498 648,749 1,946,248 973,124 486,562 243,281 729,844 364,922 182,461 547,384 273,692 136,846 68,423 205,270 102,635 307,906 153,953 461,860 230,930 115,465 346,396 173,198 86,599 259,798 129,899 389,698 194,849 584,548 292,274 146,137 438,412 219,206 109,603 328,810 164,405 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168

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