6,942,120

2³ × 3 × 5 × 17 × 41 × 83

6,942,120 has the prime decomposition 2^3 × 3 × 5 × 17 × 41 × 83. Its 6 distinct prime factors produce 128 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 41 × 83

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 22,861,440

Proper Divisor Sum 15,919,320

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6942119 ← → #6942121

Radix Representation

Decimal	6942120
Binary	11010011110110110101000 (23 bits)
Octal	0o32366650
Hexadecimal	0x69EDA8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 41 51 60 68 82 83 85 102 120 123 136 164 166 170 204 205 246 249 255 328 332 340 408 410 415 492 498 510 615 664 680 697 820 830 984 996 1,020 1,230 1,245 1,394 1,411 1,640 1,660 1,992

Collatz Trajectory (98 steps to reach 1)

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

6,942,120 3,471,060 1,735,530 867,765 2,603,296 1,301,648 650,824 325,412 162,706 81,353 244,060 122,030 61,015 183,046 91,523 274,570 137,285 411,856 205,928 102,964 51,482 25,741 77,224 38,612 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228

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