444,034

2 × 53 × 59 × 71

444,034 factors as 2 × 53 × 59 × 71. Its 16 positive divisors give a proper-divisor sum of 255,806, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 53 × 59 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 699,840

Proper Divisor Sum 255,806

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #444029 ← → #444043

Radix Representation

Decimal	444034
Binary	1101100011010000010 (19 bits)
Octal	0o1543202
Hexadecimal	0x6C682

Divisor Catalog (16)

1 2 53 59 71 106 118 142 3,127 3,763 4,189 6,254 7,526 8,378 222,017 444,034

Collatz Trajectory (187 steps to reach 1)

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

444,034 222,017 666,052 333,026 166,513 499,540 249,770 124,885 374,656 187,328 93,664 46,832 23,416 11,708 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470

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