2,164,120

2³ × 5 × 7 × 59 × 131

Starting at 2,164,120, the Collatz iteration reaches 1 after 65 steps. The first transition is 1082060; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 59 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 5,702,400

Proper Divisor Sum 3,538,280

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2164111 ← → #2164121

Radix Representation

Decimal	2164120
Binary	1000010000010110011000 (22 bits)
Octal	0o10202630
Hexadecimal	0x210598

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 131 140 236 262 280 295 413 472 524 590 655 826 917 1,048 1,180 1,310 1,652 1,834 2,065 2,360 2,620 3,304 3,668 4,130 4,585 5,240 7,336 7,729 8,260 9,170 15,458 16,520 18,340 30,916 36,680 38,645 54,103 61,832 77,290 108,206 154,580 216,412 270,515 309,160

Collatz Trajectory (65 steps to reach 1)

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

2,164,120 1,082,060 541,030 270,515 811,546 405,773 1,217,320 608,660 304,330 152,165 456,496 228,248 114,124 57,062 28,531 85,594 42,797 128,392 64,196 32,098 16,049 48,148 24,074 12,037 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64

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