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Atlas › Integer Profiles › Node 9,604,864

9,604,864

28 × 17 × 2207
Abundant Even Composite

9,604,864 factors as 2^8 × 17 × 2207. Its 36 positive divisors give a proper-divisor sum of 10,704,320, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^8 × 17 × 2207
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,309,184
Proper Divisor Sum 10,704,320
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9604849 ← → #9604871

Radix Representation

Decimal 9604864
Binary 100100101000111100000000 (24 bits)
Octal 0o44507400
Hexadecimal 0x928F00

Divisor Catalog (36)

1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1,088 2,176 2,207 4,352 4,414 8,828 17,656 35,312 37,519 70,624 75,038 141,248 150,076 282,496 300,152 564,992 600,304 1,200,608 2,401,216 4,802,432 9,604,864

Collatz Trajectory (238 steps to reach 1)

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

9,604,864 4,802,432 2,401,216 1,200,608 600,304 300,152 150,076 75,038 37,519 112,558 56,279 168,838 84,419 253,258 126,629 379,888 189,944 94,972 47,486 23,743 71,230 35,615 106,846 53,423 160,270 80,135 240,406 120,203 360,610 180,305 540,916 270,458 135,229 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156

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