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Atlas › Integer Profiles › Node 2,741,850

2,741,850

2 × 34 × 52 × 677
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 5^2 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 7,629,534
Proper Divisor Sum 4,887,684
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2741821 ← → #2741867

Radix Representation

Decimal 2741850
Binary 1010011101011001011010 (22 bits)
Octal 0o12353132
Hexadecimal 0x29D65A

Divisor Catalog (60)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 677 810 1,350 1,354 2,025 2,031 3,385 4,050 4,062 6,093 6,770 10,155 12,186 16,925 18,279 20,310 30,465 33,850 36,558 50,775 54,837 60,930 91,395 101,550 109,674 152,325 182,790 274,185 304,650 456,975 548,370 913,950 1,370,925 2,741,850

Collatz Trajectory (200 steps to reach 1)

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

2,741,850 1,370,925 4,112,776 2,056,388 1,028,194 514,097 1,542,292 771,146 385,573 1,156,720 578,360 289,180 144,590 72,295 216,886 108,443 325,330 162,665 487,996 243,998 121,999 365,998 182,999 548,998 274,499 823,498 411,749 1,235,248 617,624 308,812 154,406 77,203 231,610 115,805 347,416 173,708 86,854 43,427 130,282 65,141 195,424 97,712 48,856 24,428 12,214 6,107 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899

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