λ
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Atlas › Integer Profiles › Node 9,703,616

9,703,616

26 × 13 × 107 × 109
Abundant Even Composite

9,703,616 factors as 2^6 × 13 × 107 × 109. Its 56 positive divisors give a proper-divisor sum of 11,419,024, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 107 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 21,122,640
Proper Divisor Sum 11,419,024
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9703609 ← → #9703619

Radix Representation

Decimal 9703616
Binary 100101000001000011000000 (24 bits)
Octal 0o45010300
Hexadecimal 0x9410C0

Divisor Catalog (56)

1 2 4 8 13 16 26 32 52 64 104 107 109 208 214 218 416 428 436 832 856 872 1,391 1,417 1,712 1,744 2,782 2,834 3,424 3,488 5,564 5,668 6,848 6,976 11,128 11,336 11,663 22,256 22,672 23,326 44,512 45,344 46,652 89,024 90,688 93,304 151,619 186,608 303,238 373,216 606,476 746,432 1,212,952 2,425,904 4,851,808 9,703,616

Collatz Trajectory (70 steps to reach 1)

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

9,703,616 4,851,808 2,425,904 1,212,952 606,476 303,238 151,619 454,858 227,429 682,288 341,144 170,572 85,286 42,643 127,930 63,965 191,896 95,948 47,974 23,987 71,962 35,981 107,944 53,972 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 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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