2,009,709

3² × 13 × 89 × 193

2,009,709 factors as 3^2 × 13 × 89 × 193. Its 24 positive divisors give a proper-divisor sum of 1,168,011, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 89 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,177,720

Proper Divisor Sum 1,168,011

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2009669 ← → #2009713

Radix Representation

Decimal	2009709
Binary	111101010101001101101 (21 bits)
Octal	0o7525155
Hexadecimal	0x1EAA6D

Divisor Catalog (24)

Collatz Trajectory (140 steps to reach 1)

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

2,009,709 6,029,128 3,014,564 1,507,282 753,641 2,260,924 1,130,462 565,231 1,695,694 847,847 2,543,542 1,271,771 3,815,314 1,907,657 5,722,972 2,861,486 1,430,743 4,292,230 2,146,115 6,438,346 3,219,173 9,657,520 4,828,760 2,414,380 1,207,190 603,595 1,810,786 905,393 2,716,180 1,358,090 679,045 2,037,136 1,018,568 509,284 254,642 127,321 381,964 190,982 95,491 286,474 143,237 429,712 214,856 107,428 53,714 26,857 80,572 40,286 20,143 60,430 30,215 90,646 45,323 135,970 67,985 203,956 101,978 50,989 152,968 76,484

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