6,742,872

2³ × 3³ × 19 × 31 × 53

Prime Factor Structure

Factorization String 2^3 × 3^3 × 19 × 31 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 20,736,000

Proper Divisor Sum 13,993,128

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6742859 ← → #6742889

Radix Representation

Decimal	6742872
Binary	11001101110001101011000 (23 bits)
Octal	0o31561530
Hexadecimal	0x66E358

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 53 54 57 62 72 76 93 106 108 114 124 152 159 171 186 212 216 228 248 279 318 342 372 424 456 477 513 558 589 636 684 744 837 954 1,007 1,026 1,116 1,178 1,272 1,368 1,431 1,643 1,674 1,767 1,908

Collatz Trajectory (72 steps to reach 1)

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

6,742,872 3,371,436 1,685,718 842,859 2,528,578 1,264,289 3,792,868 1,896,434 948,217 2,844,652 1,422,326 711,163 2,133,490 1,066,745 3,200,236 1,600,118 800,059 2,400,178 1,200,089 3,600,268 1,800,134 900,067 2,700,202 1,350,101 4,050,304 2,025,152 1,012,576 506,288 253,144 126,572 63,286 31,643 94,930 47,465 142,396 71,198 35,599 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34

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