3,013,209

3² × 53 × 6317

For 3,013,209, the 12 positive divisors have a total of 4,435,236. Removing 3,013,209 leaves 1,422,027, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 53 × 6317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,435,236

Proper Divisor Sum 1,422,027

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3013193 ← → #3013211

Radix Representation

Decimal	3013209
Binary	1011011111101001011001 (22 bits)
Octal	0o13375131
Hexadecimal	0x2DFA59

Divisor Catalog (12)

1 3 9 53 159 477 6,317 18,951 56,853 334,801 1,004,403 3,013,209

Collatz Trajectory (164 steps to reach 1)

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

3,013,209 9,039,628 4,519,814 2,259,907 6,779,722 3,389,861 10,169,584 5,084,792 2,542,396 1,271,198 635,599 1,906,798 953,399 2,860,198 1,430,099 4,290,298 2,145,149 6,435,448 3,217,724 1,608,862 804,431 2,413,294 1,206,647 3,619,942 1,809,971 5,429,914 2,714,957 8,144,872 4,072,436 2,036,218 1,018,109 3,054,328 1,527,164 763,582 381,791 1,145,374 572,687 1,718,062 859,031 2,577,094 1,288,547 3,865,642 1,932,821 5,798,464 2,899,232 1,449,616 724,808 362,404 181,202 90,601 271,804 135,902 67,951 203,854 101,927 305,782 152,891 458,674 229,337 688,012

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