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Atlas › Integer Profiles › Node 9,601,464

9,601,464

23 × 3 × 17 × 101 × 233
Abundant Even Composite

9,601,464 factors as 2^3 × 3 × 17 × 101 × 233. Its 64 positive divisors give a proper-divisor sum of 16,175,976, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 101 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,777,440
Proper Divisor Sum 16,175,976
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9601457 ← → #9601469

Radix Representation

Decimal 9601464
Binary 100100101000000110111000 (24 bits)
Octal 0o44500670
Hexadecimal 0x9281B8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 233 303 404 408 466 606 699 808 932 1,212 1,398 1,717 1,864 2,424 2,796 3,434 3,961 5,151 5,592 6,868 7,922 10,302 11,883 13,736 15,844 20,604 23,533 23,766 31,688 41,208 47,066 47,532 70,599 94,132 95,064 141,198 188,264 282,396 400,061 564,792 800,122 1,200,183 1,600,244

Collatz Trajectory (163 steps to reach 1)

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

9,601,464 4,800,732 2,400,366 1,200,183 3,600,550 1,800,275 5,400,826 2,700,413 8,101,240 4,050,620 2,025,310 1,012,655 3,037,966 1,518,983 4,556,950 2,278,475 6,835,426 3,417,713 10,253,140 5,126,570 2,563,285 7,689,856 3,844,928 1,922,464 961,232 480,616 240,308 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47

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