743,444

2² × 13 × 17 × 29²

743,444 has digital root 8. The neighboring primes are 743423 and 743447; its proper-divisor sum differs from the starting integer by 49,556.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 29^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,536,444

Proper Divisor Sum 793,000

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #743423 ← → #743447

Radix Representation

Decimal	743444
Binary	10110101100000010100 (20 bits)
Octal	0o2654024
Hexadecimal	0xB5814

Divisor Catalog (36)

1 2 4 13 17 26 29 34 52 58 68 116 221 377 442 493 754 841 884 986 1,508 1,682 1,972 3,364 6,409 10,933 12,818 14,297 21,866 25,636 28,594 43,732 57,188 185,861 371,722 743,444

Collatz Trajectory (118 steps to reach 1)

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

743,444 371,722 185,861 557,584 278,792 139,396 69,698 34,849 104,548 52,274 26,137 78,412 39,206 19,603 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724

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