λ
Modular Archive

9,748,395

32 × 5 × 17 × 12743
Deficient Odd Composite

The decimal integer 9,748,395 is 100101001011111110101011 in binary (24 bits), 45137653 in octal and 94BFAB in hexadecimal. Its digit sum is 45.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 12743
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,892,576
Proper Divisor Sum 8,144,181
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9748391 ← → #9748423

Radix Representation

Decimal 9748395
Binary 100101001011111110101011 (24 bits)
Octal 0o45137653
Hexadecimal 0x94BFAB

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 12,743 38,229 63,715 114,687 191,145 216,631 573,435 649,893 1,083,155 1,949,679 3,249,465 9,748,395

Collatz Trajectory (101 steps to reach 1)

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

9,748,395 29,245,186 14,622,593 43,867,780 21,933,890 10,966,945 32,900,836 16,450,418 8,225,209 24,675,628 12,337,814 6,168,907 18,506,722 9,253,361 27,760,084 13,880,042 6,940,021 20,820,064 10,410,032 5,205,016 2,602,508 1,301,254 650,627 1,951,882 975,941 2,927,824 1,463,912 731,956 365,978 182,989 548,968 274,484 137,242 68,621 205,864 102,932 51,466 25,733 77,200 38,600 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287

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