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Atlas › Integer Profiles › Node 9,700,515

9,700,515

32 × 5 × 11 × 19597
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 19597
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,343,728
Proper Divisor Sum 8,643,213
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9700511 ← → #9700519

Radix Representation

Decimal 9700515
Binary 100101000000010010100011 (24 bits)
Octal 0o45002243
Hexadecimal 0x9404A3

Divisor Catalog (24)

1 3 5 9 11 15 33 45 55 99 165 495 19,597 58,791 97,985 176,373 215,567 293,955 646,701 881,865 1,077,835 1,940,103 3,233,505 9,700,515

Collatz Trajectory (199 steps to reach 1)

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

9,700,515 29,101,546 14,550,773 43,652,320 21,826,160 10,913,080 5,456,540 2,728,270 1,364,135 4,092,406 2,046,203 6,138,610 3,069,305 9,207,916 4,603,958 2,301,979 6,905,938 3,452,969 10,358,908 5,179,454 2,589,727 7,769,182 3,884,591 11,653,774 5,826,887 17,480,662 8,740,331 26,220,994 13,110,497 39,331,492 19,665,746 9,832,873 29,498,620 14,749,310 7,374,655 22,123,966 11,061,983 33,185,950 16,592,975 49,778,926 24,889,463 74,668,390 37,334,195 112,002,586 56,001,293 168,003,880 84,001,940 42,000,970 21,000,485 63,001,456 31,500,728 15,750,364 7,875,182 3,937,591 11,812,774 5,906,387 17,719,162 8,859,581 26,578,744 13,289,372

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