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Atlas › Integer Profiles › Node 9,840,588

9,840,588

22 × 3 × 229 × 3581
Abundant Even Composite

9,840,588 factors as 2^2 × 3 × 229 × 3581. Its 24 positive divisors give a proper-divisor sum of 13,227,492, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 229 × 3581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,068,080
Proper Divisor Sum 13,227,492
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9840587 ← → #9840601

Radix Representation

Decimal 9840588
Binary 100101100010011111001100 (24 bits)
Octal 0o45423714
Hexadecimal 0x9627CC

Divisor Catalog (24)

1 2 3 4 6 12 229 458 687 916 1,374 2,748 3,581 7,162 10,743 14,324 21,486 42,972 820,049 1,640,098 2,460,147 3,280,196 4,920,294 9,840,588

Collatz Trajectory (207 steps to reach 1)

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

9,840,588 4,920,294 2,460,147 7,380,442 3,690,221 11,070,664 5,535,332 2,767,666 1,383,833 4,151,500 2,075,750 1,037,875 3,113,626 1,556,813 4,670,440 2,335,220 1,167,610 583,805 1,751,416 875,708 437,854 218,927 656,782 328,391 985,174 492,587 1,477,762 738,881 2,216,644 1,108,322 554,161 1,662,484 831,242 415,621 1,246,864 623,432 311,716 155,858 77,929 233,788 116,894 58,447 175,342 87,671 263,014 131,507 394,522 197,261 591,784 295,892 147,946 73,973 221,920 110,960 55,480 27,740 13,870 6,935 20,806 10,403

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