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Atlas › Integer Profiles › Node 9,840,208

9,840,208

24 × 7 × 103 × 853
Abundant Even Composite

9,840,208 factors as 2^4 × 7 × 103 × 853. Its 40 positive divisors give a proper-divisor sum of 12,186,160, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 103 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,026,368
Proper Divisor Sum 12,186,160
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9840203 ← → #9840209

Radix Representation

Decimal 9840208
Binary 100101100010011001010000 (24 bits)
Octal 0o45423120
Hexadecimal 0x962650

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 853 1,442 1,648 1,706 2,884 3,412 5,768 5,971 6,824 11,536 11,942 13,648 23,884 47,768 87,859 95,536 175,718 351,436 615,013 702,872 1,230,026 1,405,744 2,460,052 4,920,104 9,840,208

Collatz Trajectory (88 steps to reach 1)

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

9,840,208 4,920,104 2,460,052 1,230,026 615,013 1,845,040 922,520 461,260 230,630 115,315 345,946 172,973 518,920 259,460 129,730 64,865 194,596 97,298 48,649 145,948 72,974 36,487 109,462 54,731 164,194 82,097 246,292 123,146 61,573 184,720 92,360 46,180 23,090 11,545 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408

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