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Atlas › Integer Profiles › Node 2,155,176

2,155,176

23 × 32 × 37 × 809
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 37 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,002,100
Proper Divisor Sum 3,846,924
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2155171 ← → #2155177

Radix Representation

Decimal 2155176
Binary 1000001110001010101000 (22 bits)
Octal 0o10161250
Hexadecimal 0x20E2A8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 809 888 1,332 1,618 2,427 2,664 3,236 4,854 6,472 7,281 9,708 14,562 19,416 29,124 29,933 58,248 59,866 89,799 119,732 179,598 239,464 269,397 359,196 538,794 718,392 1,077,588 2,155,176

Collatz Trajectory (42 steps to reach 1)

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

2,155,176 1,077,588 538,794 269,397 808,192 404,096 202,048 101,024 50,512 25,256 12,628 6,314 3,157 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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