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Atlas › Integer Profiles › Node 19,254,676

19,254,676

22 × 7 × 17 × 19 × 2129
Abundant Even Composite

19,254,676 factors as 2^2 × 7 × 17 × 19 × 2129. Its 48 positive divisors give a proper-divisor sum of 23,686,124, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 19 × 2129
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 42,940,800
Proper Divisor Sum 23,686,124
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #19254667 ← → #19254713

Radix Representation

Decimal 19254676
Binary 1001001011100110110010100 (25 bits)
Octal 0o111346624
Hexadecimal 0x125CD94

Divisor Catalog (48)

1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1,292 2,129 2,261 4,258 4,522 8,516 9,044 14,903 29,806 36,193 40,451 59,612 72,386 80,902 144,772 161,804 253,351 283,157 506,702 566,314 687,667 1,013,404 1,132,628 1,375,334 2,750,668 4,813,669 9,627,338 19,254,676

Collatz Trajectory (120 steps to reach 1)

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

19,254,676 9,627,338 4,813,669 14,441,008 7,220,504 3,610,252 1,805,126 902,563 2,707,690 1,353,845 4,061,536 2,030,768 1,015,384 507,692 253,846 126,923 380,770 190,385 571,156 285,578 142,789 428,368 214,184 107,092 53,546 26,773 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397

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