λ
Sigma Notebook

9,801,197

7 × 17 × 23 × 3581
Deficient Odd Composite

9,801,197 is odd and not a perfect square. Its factorization is 7 × 17 × 23 × 3581 and its 16 divisors sum to 12,379,392.

Prime Factor Structure

Factorization String 7 × 17 × 23 × 3581
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,379,392
Proper Divisor Sum 2,578,195
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9801191 ← → #9801203

Radix Representation

Decimal 9801197
Binary 100101011000110111101101 (24 bits)
Octal 0o45306755
Hexadecimal 0x958DED

Divisor Catalog (16)

1 7 17 23 119 161 391 2,737 3,581 25,067 60,877 82,363 426,139 576,541 1,400,171 9,801,197

Collatz Trajectory (176 steps to reach 1)

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

9,801,197 29,403,592 14,701,796 7,350,898 3,675,449 11,026,348 5,513,174 2,756,587 8,269,762 4,134,881 12,404,644 6,202,322 3,101,161 9,303,484 4,651,742 2,325,871 6,977,614 3,488,807 10,466,422 5,233,211 15,699,634 7,849,817 23,549,452 11,774,726 5,887,363 17,662,090 8,831,045 26,493,136 13,246,568 6,623,284 3,311,642 1,655,821 4,967,464 2,483,732 1,241,866 620,933 1,862,800 931,400 465,700 232,850 116,425 349,276 174,638 87,319 261,958 130,979 392,938 196,469 589,408 294,704 147,352 73,676 36,838 18,419 55,258 27,629 82,888 41,444 20,722 10,361

More profiles

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