2,005,702

2 × 1002851

2,005,702 factors as 2 × 1002851. Its 4 positive divisors give a proper-divisor sum of 1,002,854, so this integer is deficient. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 1002851

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,008,556

Proper Divisor Sum 1,002,854

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2005693 ← → #2005723

Radix Representation

Decimal	2005702
Binary	111101001101011000110 (21 bits)
Octal	0o7515306
Hexadecimal	0x1E9AC6

Divisor Catalog (4)

1 2 1,002,851 2,005,702

Collatz Trajectory (65 steps to reach 1)

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

2,005,702 1,002,851 3,008,554 1,504,277 4,512,832 2,256,416 1,128,208 564,104 282,052 141,026 70,513 211,540 105,770 52,885 158,656 79,328 39,664 19,832 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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