λ
Prime Ledger

1,004,940

22 × 33 × 5 × 1861
Abundant Even Composite

1,004,940 has the prime decomposition 2^2 × 3^3 × 5 × 1861. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 1861
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,128,160
Proper Divisor Sum 2,123,220
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1004917 ← → #1004963

Radix Representation

Decimal 1004940
Binary 11110101010110001100 (20 bits)
Octal 0o3652614
Hexadecimal 0xF558C

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1,861 3,722 5,583 7,444 9,305 11,166 16,749 18,610 22,332 27,915 33,498 37,220 50,247 55,830 66,996 83,745 100,494 111,660 167,490 200,988 251,235 334,980 502,470 1,004,940

Collatz Trajectory (90 steps to reach 1)

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

1,004,940 502,470 251,235 753,706 376,853 1,130,560 565,280 282,640 141,320 70,660 35,330 17,665 52,996 26,498 13,249 39,748 19,874 9,937 29,812 14,906 7,453 22,360 11,180 5,590 2,795 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064

More profiles

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