λ
Sigma Notebook

1,948,920

23 × 3 × 5 × 109 × 149
Abundant Even Composite

1,948,920 is even and not a perfect square. Its factorization is 2^3 × 3 × 5 × 109 × 149 and its 64 divisors sum to 5,940,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 109 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,940,000
Proper Divisor Sum 3,991,080
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1948909 ← → #1948927

Radix Representation

Decimal 1948920
Binary 111011011110011111000 (21 bits)
Octal 0o7336370
Hexadecimal 0x1DBCF8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 149 218 298 327 436 447 545 596 654 745 872 894 1,090 1,192 1,308 1,490 1,635 1,788 2,180 2,235 2,616 2,980 3,270 3,576 4,360 4,470 5,960 6,540 8,940 13,080 16,241 17,880 32,482 48,723 64,964 81,205 97,446 129,928 162,410 194,892 243,615 324,820 389,784

Collatz Trajectory (153 steps to reach 1)

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

1,948,920 974,460 487,230 243,615 730,846 365,423 1,096,270 548,135 1,644,406 822,203 2,466,610 1,233,305 3,699,916 1,849,958 924,979 2,774,938 1,387,469 4,162,408 2,081,204 1,040,602 520,301 1,560,904 780,452 390,226 195,113 585,340 292,670 146,335 439,006 219,503 658,510 329,255 987,766 493,883 1,481,650 740,825 2,222,476 1,111,238 555,619 1,666,858 833,429 2,500,288 1,250,144 625,072 312,536 156,268 78,134 39,067 117,202 58,601 175,804 87,902 43,951 131,854 65,927 197,782 98,891 296,674 148,337 445,012

More profiles

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