433,724

2² × 29 × 3739

433,724 factors as 2^2 × 29 × 3739. Its 12 positive divisors give a proper-divisor sum of 351,676, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 3739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 785,400

Proper Divisor Sum 351,676

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #433723 ← → #433729

Radix Representation

Decimal	433724
Binary	1101001111000111100 (19 bits)
Octal	0o1517074
Hexadecimal	0x69E3C

Divisor Catalog (12)

1 2 4 29 58 116 3,739 7,478 14,956 108,431 216,862 433,724

Collatz Trajectory (231 steps to reach 1)

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

433,724 216,862 108,431 325,294 162,647 487,942 243,971 731,914 365,957 1,097,872 548,936 274,468 137,234 68,617 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510

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