2,661,165

3² × 5 × 13 × 4549

2,661,165 has the prime decomposition 3^2 × 5 × 13 × 4549. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 4549

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,968,600

Proper Divisor Sum 2,307,435

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2661161 ← → #2661181

Radix Representation

Decimal	2661165
Binary	1010001001101100101101 (22 bits)
Octal	0o12115455
Hexadecimal	0x289B2D

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 4,549 13,647 22,745 40,941 59,137 68,235 177,411 204,705 295,685 532,233 887,055 2,661,165

Collatz Trajectory (117 steps to reach 1)

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

2,661,165 7,983,496 3,991,748 1,995,874 997,937 2,993,812 1,496,906 748,453 2,245,360 1,122,680 561,340 280,670 140,335 421,006 210,503 631,510 315,755 947,266 473,633 1,420,900 710,450 355,225 1,065,676 532,838 266,419 799,258 399,629 1,198,888 599,444 299,722 149,861 449,584 224,792 112,396 56,198 28,099 84,298 42,149 126,448 63,224 31,612 15,806 7,903 23,710 11,855 35,566 17,783 53,350 26,675 80,026 40,013 120,040 60,020 30,010 15,005 45,016 22,508 11,254 5,627 16,882

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