λ
Sigma Notebook

8,209,176

23 × 3 × 342049
Abundant Even Composite

8,209,176 is even and not a perfect square. Its factorization is 2^3 × 3 × 342049 and its 16 divisors sum to 20,523,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 342049
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,523,000
Proper Divisor Sum 12,313,824
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8209171 ← → #8209193

Radix Representation

Decimal 8209176
Binary 11111010100001100011000 (23 bits)
Octal 0o37241430
Hexadecimal 0x7D4318

Divisor Catalog (16)

1 2 3 4 6 8 12 24 342,049 684,098 1,026,147 1,368,196 2,052,294 2,736,392 4,104,588 8,209,176

Collatz Trajectory (186 steps to reach 1)

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

8,209,176 4,104,588 2,052,294 1,026,147 3,078,442 1,539,221 4,617,664 2,308,832 1,154,416 577,208 288,604 144,302 72,151 216,454 108,227 324,682 162,341 487,024 243,512 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501

More profiles

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