λ
Sigma Notebook

1,840,344

23 × 3 × 11 × 6971
Abundant Even Composite

1,840,344 is even and not a perfect square. Its factorization is 2^3 × 3 × 11 × 6971 and its 32 divisors sum to 5,019,840.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 6971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,019,840
Proper Divisor Sum 3,179,496
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1840337 ← → #1840351

Radix Representation

Decimal 1840344
Binary 111000001010011011000 (21 bits)
Octal 0o7012330
Hexadecimal 0x1C14D8

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 6,971 13,942 20,913 27,884 41,826 55,768 76,681 83,652 153,362 167,304 230,043 306,724 460,086 613,448 920,172 1,840,344

Collatz Trajectory (140 steps to reach 1)

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

1,840,344 920,172 460,086 230,043 690,130 345,065 1,035,196 517,598 258,799 776,398 388,199 1,164,598 582,299 1,746,898 873,449 2,620,348 1,310,174 655,087 1,965,262 982,631 2,947,894 1,473,947 4,421,842 2,210,921 6,632,764 3,316,382 1,658,191 4,974,574 2,487,287 7,461,862 3,730,931 11,192,794 5,596,397 16,789,192 8,394,596 4,197,298 2,098,649 6,295,948 3,147,974 1,573,987 4,721,962 2,360,981 7,082,944 3,541,472 1,770,736 885,368 442,684 221,342 110,671 332,014 166,007 498,022 249,011 747,034 373,517 1,120,552 560,276 280,138 140,069 420,208

More profiles

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