λ
Sigma Notebook

9,177,609

3 × 7 × 103 × 4243
Deficient Odd Composite

9,177,609 is odd and not a perfect square. Its factorization is 3 × 7 × 103 × 4243 and its 16 divisors sum to 14,124,032.

Prime Factor Structure

Factorization String 3 × 7 × 103 × 4243
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,124,032
Proper Divisor Sum 4,946,423
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9177607 ← → #9177611

Radix Representation

Decimal 9177609
Binary 100011000000101000001001 (24 bits)
Octal 0o43005011
Hexadecimal 0x8C0A09

Divisor Catalog (16)

1 3 7 21 103 309 721 2,163 4,243 12,729 29,701 89,103 437,029 1,311,087 3,059,203 9,177,609

Collatz Trajectory (106 steps to reach 1)

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

9,177,609 27,532,828 13,766,414 6,883,207 20,649,622 10,324,811 30,974,434 15,487,217 46,461,652 23,230,826 11,615,413 34,846,240 17,423,120 8,711,560 4,355,780 2,177,890 1,088,945 3,266,836 1,633,418 816,709 2,450,128 1,225,064 612,532 306,266 153,133 459,400 229,700 114,850 57,425 172,276 86,138 43,069 129,208 64,604 32,302 16,151 48,454 24,227 72,682 36,341 109,024 54,512 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706

More profiles

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