λ
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Atlas › Integer Profiles › Node 1,878,910

1,878,910

2 × 5 × 11 × 19 × 29 × 31
Abundant Even Composite

1,878,910 factors as 2 × 5 × 11 × 19 × 29 × 31. Its 64 positive divisors give a proper-divisor sum of 2,268,290, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 19 × 29 × 31
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,147,200
Proper Divisor Sum 2,268,290
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1878889 ← → #1878911

Radix Representation

Decimal 1878910
Binary 111001010101101111110 (21 bits)
Octal 0o7125576
Hexadecimal 0x1CAB7E

Divisor Catalog (60 of 64)

1 2 5 10 11 19 22 29 31 38 55 58 62 95 110 145 155 190 209 290 310 319 341 418 551 589 638 682 899 1,045 1,102 1,178 1,595 1,705 1,798 2,090 2,755 2,945 3,190 3,410 4,495 5,510 5,890 6,061 6,479 8,990 9,889 12,122 12,958 17,081 19,778 30,305 32,395 34,162 49,445 60,610 64,790 85,405 98,890 170,810

Collatz Trajectory (132 steps to reach 1)

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

1,878,910 939,455 2,818,366 1,409,183 4,227,550 2,113,775 6,341,326 3,170,663 9,511,990 4,755,995 14,267,986 7,133,993 21,401,980 10,700,990 5,350,495 16,051,486 8,025,743 24,077,230 12,038,615 36,115,846 18,057,923 54,173,770 27,086,885 81,260,656 40,630,328 20,315,164 10,157,582 5,078,791 15,236,374 7,618,187 22,854,562 11,427,281 34,281,844 17,140,922 8,570,461 25,711,384 12,855,692 6,427,846 3,213,923 9,641,770 4,820,885 14,462,656 7,231,328 3,615,664 1,807,832 903,916 451,958 225,979 677,938 338,969 1,016,908 508,454 254,227 762,682 381,341 1,144,024 572,012 286,006 143,003 429,010

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