λ
Math Directory

9,796,208

24 × 612263
Deficient Even Composite

9,796,208 factors as 2^4 × 612263. Its 10 positive divisors give a proper-divisor sum of 9,183,976, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^4 × 612263
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 18,980,184
Proper Divisor Sum 9,183,976
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9796201 ← → #9796211

Radix Representation

Decimal 9796208
Binary 100101010111101001110000 (24 bits)
Octal 0o45275160
Hexadecimal 0x957A70

Divisor Catalog (10)

1 2 4 8 16 612,263 1,224,526 2,449,052 4,898,104 9,796,208

Collatz Trajectory (119 steps to reach 1)

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

9,796,208 4,898,104 2,449,052 1,224,526 612,263 1,836,790 918,395 2,755,186 1,377,593 4,132,780 2,066,390 1,033,195 3,099,586 1,549,793 4,649,380 2,324,690 1,162,345 3,487,036 1,743,518 871,759 2,615,278 1,307,639 3,922,918 1,961,459 5,884,378 2,942,189 8,826,568 4,413,284 2,206,642 1,103,321 3,309,964 1,654,982 827,491 2,482,474 1,241,237 3,723,712 1,861,856 930,928 465,464 232,732 116,366 58,183 174,550 87,275 261,826 130,913 392,740 196,370 98,185 294,556 147,278 73,639 220,918 110,459 331,378 165,689 497,068 248,534 124,267 372,802

More profiles

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