9,009,723

3 × 3003241

For 9,009,723, the 4 positive divisors have a total of 12,012,968. Removing 9,009,723 leaves 3,003,245, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 3003241

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 12,012,968

Proper Divisor Sum 3,003,245

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9009697 ← → #9009727

Radix Representation

Decimal	9009723
Binary	100010010111101000111011 (24 bits)
Octal	0o42275073
Hexadecimal	0x897A3B

Divisor Catalog (4)

1 3 3,003,241 9,009,723

Collatz Trajectory (424 steps to reach 1)

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

9,009,723 27,029,170 13,514,585 40,543,756 20,271,878 10,135,939 30,407,818 15,203,909 45,611,728 22,805,864 11,402,932 5,701,466 2,850,733 8,552,200 4,276,100 2,138,050 1,069,025 3,207,076 1,603,538 801,769 2,405,308 1,202,654 601,327 1,803,982 901,991 2,705,974 1,352,987 4,058,962 2,029,481 6,088,444 3,044,222 1,522,111 4,566,334 2,283,167 6,849,502 3,424,751 10,274,254 5,137,127 15,411,382 7,705,691 23,117,074 11,558,537 34,675,612 17,337,806 8,668,903 26,006,710 13,003,355 39,010,066 19,505,033 58,515,100 29,257,550 14,628,775 43,886,326 21,943,163 65,829,490 32,914,745 98,744,236 49,372,118 24,686,059 74,058,178

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