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Atlas › Integer Profiles › Node 9,630,488

9,630,488

23 × 7 × 47 × 3659
Abundant Even Composite

9,630,488 factors as 2^3 × 7 × 47 × 3659. Its 32 positive divisors give a proper-divisor sum of 11,451,112, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 47 × 3659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,081,600
Proper Divisor Sum 11,451,112
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9630479 ← → #9630499

Radix Representation

Decimal 9630488
Binary 100100101111001100011000 (24 bits)
Octal 0o44571430
Hexadecimal 0x92F318

Divisor Catalog (32)

1 2 4 7 8 14 28 47 56 94 188 329 376 658 1,316 2,632 3,659 7,318 14,636 25,613 29,272 51,226 102,452 171,973 204,904 343,946 687,892 1,203,811 1,375,784 2,407,622 4,815,244 9,630,488

Collatz Trajectory (145 steps to reach 1)

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

9,630,488 4,815,244 2,407,622 1,203,811 3,611,434 1,805,717 5,417,152 2,708,576 1,354,288 677,144 338,572 169,286 84,643 253,930 126,965 380,896 190,448 95,224 47,612 23,806 11,903 35,710 17,855 53,566 26,783 80,350 40,175 120,526 60,263 180,790 90,395 271,186 135,593 406,780 203,390 101,695 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040 366,520

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