λ
Ratio Atlas

9,730,729

9730729
Deficient Odd Prime

9,730,729 factors as 9730729. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 9730729
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,730,730
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9730727 ← → #9730751

Radix Representation

Decimal 9730729
Binary 100101000111101010101001 (24 bits)
Octal 0o45075251
Hexadecimal 0x947AA9

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

9,730,729 29,192,188 14,596,094 7,298,047 21,894,142 10,947,071 32,841,214 16,420,607 49,261,822 24,630,911 73,892,734 36,946,367 110,839,102 55,419,551 166,258,654 83,129,327 249,387,982 124,693,991 374,081,974 187,040,987 561,122,962 280,561,481 841,684,444 420,842,222 210,421,111 631,263,334 315,631,667 946,895,002 473,447,501 1,420,342,504 710,171,252 355,085,626 177,542,813 532,628,440 266,314,220 133,157,110 66,578,555 199,735,666 99,867,833 299,603,500 149,801,750 74,900,875 224,702,626 112,351,313 337,053,940 168,526,970 84,263,485 252,790,456 126,395,228 63,197,614 31,598,807 94,796,422 47,398,211 142,194,634 71,097,317 213,291,952 106,645,976 53,322,988 26,661,494 13,330,747

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