λ
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Atlas › Integer Profiles › Node 2,040,920

2,040,920

23 × 5 × 7 × 37 × 197
Abundant Even Composite

2,040,920 factors as 2^3 × 5 × 7 × 37 × 197. Its 64 positive divisors give a proper-divisor sum of 3,376,360, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 37 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,417,280
Proper Divisor Sum 3,376,360
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2040919 ← → #2040943

Radix Representation

Decimal 2040920
Binary 111110010010001011000 (21 bits)
Octal 0o7622130
Hexadecimal 0x1F2458

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 197 259 280 296 370 394 518 740 788 985 1,036 1,295 1,379 1,480 1,576 1,970 2,072 2,590 2,758 3,940 5,180 5,516 6,895 7,289 7,880 10,360 11,032 13,790 14,578 27,580 29,156 36,445 51,023 55,160 58,312 72,890 102,046 145,780 204,092 255,115 291,560

Collatz Trajectory (184 steps to reach 1)

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

2,040,920 1,020,460 510,230 255,115 765,346 382,673 1,148,020 574,010 287,005 861,016 430,508 215,254 107,627 322,882 161,441 484,324 242,162 121,081 363,244 181,622 90,811 272,434 136,217 408,652 204,326 102,163 306,490 153,245 459,736 229,868 114,934 57,467 172,402 86,201 258,604 129,302 64,651 193,954 96,977 290,932 145,466 72,733 218,200 109,100 54,550 27,275 81,826 40,913 122,740 61,370 30,685 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946

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