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Atlas › Integer Profiles › Node 9,747,336

9,747,336

23 × 3 × 53 × 79 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 53 × 79 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,401,600
Proper Divisor Sum 15,654,264
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9747301 ← → #9747337

Radix Representation

Decimal 9747336
Binary 100101001011101110001000 (24 bits)
Octal 0o45135610
Hexadecimal 0x94BB88

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 53 79 97 106 158 159 194 212 237 291 316 318 388 424 474 582 632 636 776 948 1,164 1,272 1,896 2,328 4,187 5,141 7,663 8,374 10,282 12,561 15,326 15,423 16,748 20,564 22,989 25,122 30,652 30,846 33,496 41,128 45,978 50,244 61,304 61,692 91,956 100,488 123,384 183,912 406,139 812,278 1,218,417 1,624,556

Collatz Trajectory (251 steps to reach 1)

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

9,747,336 4,873,668 2,436,834 1,218,417 3,655,252 1,827,626 913,813 2,741,440 1,370,720 685,360 342,680 171,340 85,670 42,835 128,506 64,253 192,760 96,380 48,190 24,095 72,286 36,143 108,430 54,215 162,646 81,323 243,970 121,985 365,956 182,978 91,489 274,468 137,234 68,617 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829

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