444,871

7³ × 1297

444,871 factors as 7^3 × 1297. Its 8 positive divisors give a proper-divisor sum of 74,329, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 7^3 × 1297

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 519,200

Proper Divisor Sum 74,329

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #444869 ← → #444877

Radix Representation

Decimal	444871
Binary	1101100100111000111 (19 bits)
Octal	0o1544707
Hexadecimal	0x6C9C7

Divisor Catalog (8)

1 7 49 343 1,297 9,079 63,553 444,871

Collatz Trajectory (143 steps to reach 1)

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

444,871 1,334,614 667,307 2,001,922 1,000,961 3,002,884 1,501,442 750,721 2,252,164 1,126,082 563,041 1,689,124 844,562 422,281 1,266,844 633,422 316,711 950,134 475,067 1,425,202 712,601 2,137,804 1,068,902 534,451 1,603,354 801,677 2,405,032 1,202,516 601,258 300,629 901,888 450,944 225,472 112,736 56,368 28,184 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825

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