9,728,009

9728009

9,728,009 factors as 9728009. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 9728009

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 9,728,010

Proper Divisor Sum 1

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9727999 ← → #9728023

Radix Representation

Decimal	9728009
Binary	100101000111000000001001 (24 bits)
Octal	0o45070011
Hexadecimal	0x947009

Divisor Catalog (2)

1 9,728,009

Collatz Trajectory (145 steps to reach 1)

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

9,728,009 29,184,028 14,592,014 7,296,007 21,888,022 10,944,011 32,832,034 16,416,017 49,248,052 24,624,026 12,312,013 36,936,040 18,468,020 9,234,010 4,617,005 13,851,016 6,925,508 3,462,754 1,731,377 5,194,132 2,597,066 1,298,533 3,895,600 1,947,800 973,900 486,950 243,475 730,426 365,213 1,095,640 547,820 273,910 136,955 410,866 205,433 616,300 308,150 154,075 462,226 231,113 693,340 346,670 173,335 520,006 260,003 780,010 390,005 1,170,016 585,008 292,504 146,252 73,126 36,563 109,690 54,845 164,536 82,268 41,134 20,567 61,702

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