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2,010,723

3 × 11 × 13 × 43 × 109
Deficient Odd Composite

2,010,723 factors as 3 × 11 × 13 × 43 × 109. Its 32 positive divisors give a proper-divisor sum of 1,241,757, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 43 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,252,480
Proper Divisor Sum 1,241,757
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2010721 ← → #2010727

Radix Representation

Decimal 2010723
Binary 111101010111001100011 (21 bits)
Octal 0o7527143
Hexadecimal 0x1EAE63

Divisor Catalog (32)

1 3 11 13 33 39 43 109 129 143 327 429 473 559 1,199 1,417 1,419 1,677 3,597 4,251 4,687 6,149 14,061 15,587 18,447 46,761 51,557 60,931 154,671 182,793 670,241 2,010,723

Collatz Trajectory (91 steps to reach 1)

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

2,010,723 6,032,170 3,016,085 9,048,256 4,524,128 2,262,064 1,131,032 565,516 282,758 141,379 424,138 212,069 636,208 318,104 159,052 79,526 39,763 119,290 59,645 178,936 89,468 44,734 22,367 67,102 33,551 100,654 50,327 150,982 75,491 226,474 113,237 339,712 169,856 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128

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