λ
Integer Codex

1,424,940

22 × 3 × 5 × 11 × 17 × 127
Abundant Even Composite

For 1,424,940, the 96 positive divisors have a total of 4,644,864. Removing 1,424,940 leaves 3,219,924, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 17 × 127
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 4,644,864
Proper Divisor Sum 3,219,924
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1424939 ← → #1424947

Radix Representation

Decimal 1424940
Binary 101011011111000101100 (21 bits)
Octal 0o5337054
Hexadecimal 0x15BE2C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 127 132 165 170 187 204 220 254 255 330 340 374 381 508 510 561 635 660 748 762 935 1,020 1,122 1,270 1,397 1,524 1,870 1,905 2,159 2,244 2,540 2,794 2,805 3,740 3,810

Collatz Trajectory (124 steps to reach 1)

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

1,424,940 712,470 356,235 1,068,706 534,353 1,603,060 801,530 400,765 1,202,296 601,148 300,574 150,287 450,862 225,431 676,294 338,147 1,014,442 507,221 1,521,664 760,832 380,416 190,208 95,104 47,552 23,776 11,888 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 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

More profiles

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