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Atlas › Integer Profiles › Node 10,389,760

10,389,760

28 × 5 × 8117
Abundant Even Composite

10,389,760 factors as 2^8 × 5 × 8117. Its 36 positive divisors give a proper-divisor sum of 14,500,028, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^8 × 5 × 8117
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,889,788
Proper Divisor Sum 14,500,028
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #10389733 ← → #10389781

Radix Representation

Decimal 10389760
Binary 100111101000100100000000 (24 bits)
Octal 0o47504400
Hexadecimal 0x9E8900

Divisor Catalog (36)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1,280 8,117 16,234 32,468 40,585 64,936 81,170 129,872 162,340 259,744 324,680 519,488 649,360 1,038,976 1,298,720 2,077,952 2,597,440 5,194,880 10,389,760

Collatz Trajectory (176 steps to reach 1)

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

10,389,760 5,194,880 2,597,440 1,298,720 649,360 324,680 162,340 81,170 40,585 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501 5,623,504 2,811,752 1,405,876 702,938 351,469 1,054,408 527,204 263,602 131,801 395,404

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