λ
Ratio Atlas

9,752,191

9752191
Deficient Odd Prime

9,752,191 factors as 9752191. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 9752191
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,752,192
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9752189 ← → #9752213

Radix Representation

Decimal 9752191
Binary 100101001100111001111111 (24 bits)
Octal 0o45147177
Hexadecimal 0x94CE7F

Divisor Catalog (2)

Collatz Trajectory (313 steps to reach 1)

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

9,752,191 29,256,574 14,628,287 43,884,862 21,942,431 65,827,294 32,913,647 98,740,942 49,370,471 148,111,414 74,055,707 222,167,122 111,083,561 333,250,684 166,625,342 83,312,671 249,938,014 124,969,007 374,907,022 187,453,511 562,360,534 281,180,267 843,540,802 421,770,401 1,265,311,204 632,655,602 316,327,801 948,983,404 474,491,702 237,245,851 711,737,554 355,868,777 1,067,606,332 533,803,166 266,901,583 800,704,750 400,352,375 1,201,057,126 600,528,563 1,801,585,690 900,792,845 2,702,378,536 1,351,189,268 675,594,634 337,797,317 1,013,391,952 506,695,976 253,347,988 126,673,994 63,336,997 190,010,992 95,005,496 47,502,748 23,751,374 11,875,687 35,627,062 17,813,531 53,440,594 26,720,297 80,160,892

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