λ
Zalai Atlas

1,840,368

24 × 3 × 23 × 1667
Abundant Even Composite

1,840,368 has the prime decomposition 2^4 × 3 × 23 × 1667. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 1667
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,963,968
Proper Divisor Sum 3,123,600
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1840351 ← → #1840393

Radix Representation

Decimal 1840368
Binary 111000001010011110000 (21 bits)
Octal 0o7012360
Hexadecimal 0x1C14F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1,104 1,667 3,334 5,001 6,668 10,002 13,336 20,004 26,672 38,341 40,008 76,682 80,016 115,023 153,364 230,046 306,728 460,092 613,456 920,184 1,840,368

Collatz Trajectory (140 steps to reach 1)

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

1,840,368 920,184 460,092 230,046 115,023 345,070 172,535 517,606 258,803 776,410 388,205 1,164,616 582,308 291,154 145,577 436,732 218,366 109,183 327,550 163,775 491,326 245,663 736,990 368,495 1,105,486 552,743 1,658,230 829,115 2,487,346 1,243,673 3,731,020 1,865,510 932,755 2,798,266 1,399,133 4,197,400 2,098,700 1,049,350 524,675 1,574,026 787,013 2,361,040 1,180,520 590,260 295,130 147,565 442,696 221,348 110,674 55,337 166,012 83,006 41,503 124,510 62,255 186,766 93,383 280,150 140,075 420,226

More profiles

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