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Atlas › Integer Profiles › Node 9,309,734

9,309,734

2 × 7 × 19 × 31 × 1129
Deficient Even Composite

9,309,734 factors as 2 × 7 × 19 × 31 × 1129. Its 32 positive divisors give a proper-divisor sum of 8,047,066, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 31 × 1129
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,356,800
Proper Divisor Sum 8,047,066
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9309721 ← → #9309737

Radix Representation

Decimal 9309734
Binary 100011100000111000100110 (24 bits)
Octal 0o43407046
Hexadecimal 0x8E0E26

Divisor Catalog (32)

1 2 7 14 19 31 38 62 133 217 266 434 589 1,129 1,178 2,258 4,123 7,903 8,246 15,806 21,451 34,999 42,902 69,998 150,157 244,993 300,314 489,986 664,981 1,329,962 4,654,867 9,309,734

Collatz Trajectory (106 steps to reach 1)

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

9,309,734 4,654,867 13,964,602 6,982,301 20,946,904 10,473,452 5,236,726 2,618,363 7,855,090 3,927,545 11,782,636 5,891,318 2,945,659 8,836,978 4,418,489 13,255,468 6,627,734 3,313,867 9,941,602 4,970,801 14,912,404 7,456,202 3,728,101 11,184,304 5,592,152 2,796,076 1,398,038 699,019 2,097,058 1,048,529 3,145,588 1,572,794 786,397 2,359,192 1,179,596 589,798 294,899 884,698 442,349 1,327,048 663,524 331,762 165,881 497,644 248,822 124,411 373,234 186,617 559,852 279,926 139,963 419,890 209,945 629,836 314,918 157,459 472,378 236,189 708,568 354,284

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