734,769

3² × 7 × 107 × 109

734,769 factors as 3^2 × 7 × 107 × 109. Its 24 positive divisors give a proper-divisor sum of 500,751, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 107 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,235,520

Proper Divisor Sum 500,751

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #734759 ← → #734771

Radix Representation

Decimal	734769
Binary	10110011011000110001 (20 bits)
Octal	0o2633061
Hexadecimal	0xB3631

Divisor Catalog (24)

1 3 7 9 21 63 107 109 321 327 749 763 963 981 2,247 2,289 6,741 6,867 11,663 34,989 81,641 104,967 244,923 734,769

Collatz Trajectory (180 steps to reach 1)

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

734,769 2,204,308 1,102,154 551,077 1,653,232 826,616 413,308 206,654 103,327 309,982 154,991 464,974 232,487 697,462 348,731 1,046,194 523,097 1,569,292 784,646 392,323 1,176,970 588,485 1,765,456 882,728 441,364 220,682 110,341 331,024 165,512 82,756 41,378 20,689 62,068 31,034 15,517 46,552 23,276 11,638 5,819 17,458 8,729 26,188 13,094 6,547 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778

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