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Atlas › Integer Profiles › Node 9,705,632

9,705,632

25 × 23 × 13187
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 23 × 13187
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,940,256
Proper Divisor Sum 10,234,624
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9705617 ← → #9705667

Radix Representation

Decimal 9705632
Binary 100101000001100010100000 (24 bits)
Octal 0o45014240
Hexadecimal 0x9418A0

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 13,187 26,374 52,748 105,496 210,992 303,301 421,984 606,602 1,213,204 2,426,408 4,852,816 9,705,632

Collatz Trajectory (70 steps to reach 1)

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

9,705,632 4,852,816 2,426,408 1,213,204 606,602 303,301 909,904 454,952 227,476 113,738 56,869 170,608 85,304 42,652 21,326 10,663 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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