λ
Sigma Notebook

3,082,176

26 × 32 × 5351
Abundant Even Composite

3,082,176 is even and not a perfect square. Its factorization is 2^6 × 3^2 × 5351 and its 42 divisors sum to 8,836,152.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5351
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 8,836,152
Proper Divisor Sum 5,753,976
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3082171 ← → #3082187

Radix Representation

Decimal 3082176
Binary 1011110000011111000000 (22 bits)
Octal 0o13603700
Hexadecimal 0x2F07C0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5,351 10,702 16,053 21,404 32,106 42,808 48,159 64,212 85,616 96,318 128,424 171,232 192,636 256,848 342,464 385,272 513,696 770,544 1,027,392 1,541,088 3,082,176

Collatz Trajectory (195 steps to reach 1)

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

3,082,176 1,541,088 770,544 385,272 192,636 96,318 48,159 144,478 72,239 216,718 108,359 325,078 162,539 487,618 243,809 731,428 365,714 182,857 548,572 274,286 137,143 411,430 205,715 617,146 308,573 925,720 462,860 231,430 115,715 347,146 173,573 520,720 260,360 130,180 65,090 32,545 97,636 48,818 24,409 73,228 36,614 18,307 54,922 27,461 82,384 41,192 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260

More profiles

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