6,162,000

2⁴ × 3 × 5³ × 13 × 79

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 13 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 21,665,280

Proper Divisor Sum 15,503,280

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #6161993 ← → #6162001

Radix Representation

Decimal	6162000
Binary	10111100000011001010000 (23 bits)
Octal	0o27403120
Hexadecimal	0x5E0650

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 79 80 100 104 120 125 130 150 156 158 195 200 208 237 240 250 260 300 312 316 325 375 390 395 400 474 500 520 600 624 632 650 750 780

Collatz Trajectory (165 steps to reach 1)

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

6,162,000 3,081,000 1,540,500 770,250 385,125 1,155,376 577,688 288,844 144,422 72,211 216,634 108,317 324,952 162,476 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094

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