9,000,005

5 × 7 × 29 × 8867

For 9,000,005, the 16 positive divisors have a total of 12,769,920. Removing 9,000,005 leaves 3,769,915, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 29 × 8867

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,769,920

Proper Divisor Sum 3,769,915

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #8999993 ← → #9000011

Radix Representation

Decimal	9000005
Binary	100010010101010001000101 (24 bits)
Octal	0o42252105
Hexadecimal	0x895445

Divisor Catalog (16)

1 5 7 29 35 145 203 1,015 8,867 44,335 62,069 257,143 310,345 1,285,715 1,800,001 9,000,005

Collatz Trajectory (111 steps to reach 1)

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

9,000,005 27,000,016 13,500,008 6,750,004 3,375,002 1,687,501 5,062,504 2,531,252 1,265,626 632,813 1,898,440 949,220 474,610 237,305 711,916 355,958 177,979 533,938 266,969 800,908 400,454 200,227 600,682 300,341 901,024 450,512 225,256 112,628 56,314 28,157 84,472 42,236 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515

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