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Atlas › Integer Profiles › Node 9,748,488

9,748,488

23 × 3 × 41 × 9907
Abundant Even Composite

9,748,488 factors as 2^3 × 3 × 41 × 9907. Its 32 positive divisors give a proper-divisor sum of 15,219,672, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 9907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,968,160
Proper Divisor Sum 15,219,672
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9748469 ← → #9748537

Radix Representation

Decimal 9748488
Binary 100101001100000000001000 (24 bits)
Octal 0o45140010
Hexadecimal 0x94C008

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 9,907 19,814 29,721 39,628 59,442 79,256 118,884 237,768 406,187 812,374 1,218,561 1,624,748 2,437,122 3,249,496 4,874,244 9,748,488

Collatz Trajectory (114 steps to reach 1)

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

9,748,488 4,874,244 2,437,122 1,218,561 3,655,684 1,827,842 913,921 2,741,764 1,370,882 685,441 2,056,324 1,028,162 514,081 1,542,244 771,122 385,561 1,156,684 578,342 289,171 867,514 433,757 1,301,272 650,636 325,318 162,659 487,978 243,989 731,968 365,984 182,992 91,496 45,748 22,874 11,437 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721

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