640,144

2⁴ × 40009

640,144 factors as 2^4 × 40009. Its 10 positive divisors give a proper-divisor sum of 600,166, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^4 × 40009

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,240,310

Proper Divisor Sum 600,166

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #640139 ← → #640151

Radix Representation

Decimal	640144
Binary	10011100010010010000 (20 bits)
Octal	0o2342220
Hexadecimal	0x9C490

Divisor Catalog (10)

1 2 4 8 16 40,009 80,018 160,036 320,072 640,144

Collatz Trajectory (97 steps to reach 1)

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

640,144 320,072 160,036 80,018 40,009 120,028 60,014 30,007 90,022 45,011 135,034 67,517 202,552 101,276 50,638 25,319 75,958 37,979 113,938 56,969 170,908 85,454 42,727 128,182 64,091 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061

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