434,444

2² × 313 × 347

434,444 factors as 2^2 × 313 × 347. Its 12 positive divisors give a proper-divisor sum of 330,460, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^2 × 313 × 347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 764,904

Proper Divisor Sum 330,460

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #434437 ← → #434459

Radix Representation

Decimal	434444
Binary	1101010000100001100 (19 bits)
Octal	0o1520414
Hexadecimal	0x6A10C

Divisor Catalog (12)

1 2 4 313 347 626 694 1,252 1,388 108,611 217,222 434,444

Collatz Trajectory (156 steps to reach 1)

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

434,444 217,222 108,611 325,834 162,917 488,752 244,376 122,188 61,094 30,547 91,642 45,821 137,464 68,732 34,366 17,183 51,550 25,775 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540

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