λ
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Atlas › Integer Profiles › Node 9,705,848

9,705,848

23 × 41 × 127 × 233
Deficient Even Composite

9,705,848 factors as 2^3 × 41 × 127 × 233. Its 32 positive divisors give a proper-divisor sum of 9,163,912, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 127 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,869,760
Proper Divisor Sum 9,163,912
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9705847 ← → #9705853

Radix Representation

Decimal 9705848
Binary 100101000001100101111000 (24 bits)
Octal 0o45014570
Hexadecimal 0x941978

Divisor Catalog (32)

1 2 4 8 41 82 127 164 233 254 328 466 508 932 1,016 1,864 5,207 9,553 10,414 19,106 20,828 29,591 38,212 41,656 59,182 76,424 118,364 236,728 1,213,231 2,426,462 4,852,924 9,705,848

Collatz Trajectory (163 steps to reach 1)

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

9,705,848 4,852,924 2,426,462 1,213,231 3,639,694 1,819,847 5,459,542 2,729,771 8,189,314 4,094,657 12,283,972 6,141,986 3,070,993 9,212,980 4,606,490 2,303,245 6,909,736 3,454,868 1,727,434 863,717 2,591,152 1,295,576 647,788 323,894 161,947 485,842 242,921 728,764 364,382 182,191 546,574 273,287 819,862 409,931 1,229,794 614,897 1,844,692 922,346 461,173 1,383,520 691,760 345,880 172,940 86,470 43,235 129,706 64,853 194,560 97,280 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286

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