λ
Modular Archive

9,721,197

32 × 31 × 34843
Deficient Odd Composite

The decimal integer 9,721,197 is 100101000101010101101101 in binary (24 bits), 45052555 in octal and 94556D in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 3^2 × 31 × 34843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,495,104
Proper Divisor Sum 4,773,907
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9721189 ← → #9721199

Radix Representation

Decimal 9721197
Binary 100101000101010101101101 (24 bits)
Octal 0o45052555
Hexadecimal 0x94556D

Divisor Catalog (12)

1 3 9 31 93 279 34,843 104,529 313,587 1,080,133 3,240,399 9,721,197

Collatz Trajectory (132 steps to reach 1)

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

9,721,197 29,163,592 14,581,796 7,290,898 3,645,449 10,936,348 5,468,174 2,734,087 8,202,262 4,101,131 12,303,394 6,151,697 18,455,092 9,227,546 4,613,773 13,841,320 6,920,660 3,460,330 1,730,165 5,190,496 2,595,248 1,297,624 648,812 324,406 162,203 486,610 243,305 729,916 364,958 182,479 547,438 273,719 821,158 410,579 1,231,738 615,869 1,847,608 923,804 461,902 230,951 692,854 346,427 1,039,282 519,641 1,558,924 779,462 389,731 1,169,194 584,597 1,753,792 876,896 438,448 219,224 109,612 54,806 27,403 82,210 41,105 123,316 61,658

More profiles

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