λ
Integer Codex

4,357,791

32 × 443 × 1093
Deficient Odd Composite

For 4,357,791, the 12 positive divisors have a total of 6,314,568. Removing 4,357,791 leaves 1,956,777, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 443 × 1093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,314,568
Proper Divisor Sum 1,956,777
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4357781 ← → #4357807

Radix Representation

Decimal 4357791
Binary 10000100111111010011111 (23 bits)
Octal 0o20477237
Hexadecimal 0x427E9F

Divisor Catalog (12)

1 3 9 443 1,093 1,329 3,279 3,987 9,837 484,199 1,452,597 4,357,791

Collatz Trajectory (286 steps to reach 1)

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

4,357,791 13,073,374 6,536,687 19,610,062 9,805,031 29,415,094 14,707,547 44,122,642 22,061,321 66,183,964 33,091,982 16,545,991 49,637,974 24,818,987 74,456,962 37,228,481 111,685,444 55,842,722 27,921,361 83,764,084 41,882,042 20,941,021 62,823,064 31,411,532 15,705,766 7,852,883 23,558,650 11,779,325 35,337,976 17,668,988 8,834,494 4,417,247 13,251,742 6,625,871 19,877,614 9,938,807 29,816,422 14,908,211 44,724,634 22,362,317 67,086,952 33,543,476 16,771,738 8,385,869 25,157,608 12,578,804 6,289,402 3,144,701 9,434,104 4,717,052 2,358,526 1,179,263 3,537,790 1,768,895 5,306,686 2,653,343 7,960,030 3,980,015 11,940,046 5,970,023

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