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Atlas › Integer Profiles › Node 9,704,320

9,704,320

27 × 5 × 59 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5 × 59 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,684,400
Proper Divisor Sum 13,980,080
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9704311 ← → #9704329

Radix Representation

Decimal 9704320
Binary 100101000001001110000000 (24 bits)
Octal 0o45011600
Hexadecimal 0x941380

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 257 295 320 472 514 590 640 944 1,028 1,180 1,285 1,888 2,056 2,360 2,570 3,776 4,112 4,720 5,140 7,552 8,224 9,440 10,280 15,163 16,448 18,880 20,560 30,326 32,896 37,760 41,120 60,652 75,815 82,240 121,304 151,630 164,480 242,608 303,260 485,216 606,520 970,432 1,213,040

Collatz Trajectory (163 steps to reach 1)

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

9,704,320 4,852,160 2,426,080 1,213,040 606,520 303,260 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286

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