734,724

2² × 3³ × 6803

734,724 has the prime decomposition 2^2 × 3^3 × 6803. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 6803

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,905,120

Proper Divisor Sum 1,170,396

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #734717 ← → #734729

Radix Representation

Decimal	734724
Binary	10110011011000000100 (20 bits)
Octal	0o2633004
Hexadecimal	0xB3604

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 6,803 13,606 20,409 27,212 40,818 61,227 81,636 122,454 183,681 244,908 367,362 734,724

Collatz Trajectory (180 steps to reach 1)

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

734,724 367,362 183,681 551,044 275,522 137,761 413,284 206,642 103,321 309,964 154,982 77,491 232,474 116,237 348,712 174,356 87,178 43,589 130,768 65,384 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778

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