2,009,152

2⁶ × 31393

2,009,152 factors as 2^6 × 31393. Its 14 positive divisors give a proper-divisor sum of 1,977,886, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^6 × 31393

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 3,987,038

Proper Divisor Sum 1,977,886

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2009113 ← → #2009167

Radix Representation

Decimal	2009152
Binary	111101010100001000000 (21 bits)
Octal	0o7524100
Hexadecimal	0x1EA840

Divisor Catalog (14)

1 2 4 8 16 32 64 31,393 62,786 125,572 251,144 502,288 1,004,576 2,009,152

Collatz Trajectory (140 steps to reach 1)

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

2,009,152 1,004,576 502,288 251,144 125,572 62,786 31,393 94,180 47,090 23,545 70,636 35,318 17,659 52,978 26,489 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477

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