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Atlas › Integer Profiles › Node 9,705,680

9,705,680

24 × 5 × 121321
Abundant Even Composite

9,705,680 factors as 2^4 × 5 × 121321. Its 20 positive divisors give a proper-divisor sum of 12,860,212, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 121321
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,565,892
Proper Divisor Sum 12,860,212
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9705671 ← → #9705719

Radix Representation

Decimal 9705680
Binary 100101000001100011010000 (24 bits)
Octal 0o45014320
Hexadecimal 0x9418D0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 121,321 242,642 485,284 606,605 970,568 1,213,210 1,941,136 2,426,420 4,852,840 9,705,680

Collatz Trajectory (70 steps to reach 1)

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

9,705,680 4,852,840 2,426,420 1,213,210 606,605 1,819,816 909,908 454,954 227,477 682,432 341,216 170,608 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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