2,162,160

2⁴ × 3³ × 5 × 7 × 11 × 13

Starting at 2,162,160, the Collatz iteration reaches 1 after 65 steps. The first transition is 1081080; the starting value is even with 320 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 7 × 11 × 13

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 320

Divisor Sum (σ) 9,999,360

Proper Divisor Sum 7,837,200

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2162137 ← → #2162177

Radix Representation

Decimal	2162160
Binary	1000001111110111110000 (22 bits)
Octal	0o10176760
Hexadecimal	0x20FDF0

Divisor Catalog (60 of 320)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 33 35 36 39 40 42 44 45 48 52 54 55 56 60 63 65 66 70 72 77 78 80 84 88 90 91 99 104 105 108 110 112 117 120 126

Collatz Trajectory (65 steps to reach 1)

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

2,162,160 1,081,080 540,540 270,270 135,135 405,406 202,703 608,110 304,055 912,166 456,083 1,368,250 684,125 2,052,376 1,026,188 513,094 256,547 769,642 384,821 1,154,464 577,232 288,616 144,308 72,154 36,077 108,232 54,116 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64

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