λ
Ratio Atlas

2,015,039

13 × 155003
Deficient Odd Composite

2,015,039 factors as 13 × 155003. Its 4 positive divisors give a proper-divisor sum of 155,017, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 13 × 155003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,170,056
Proper Divisor Sum 155,017
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2015033 ← → #2015047

Radix Representation

Decimal 2015039
Binary 111101011111100111111 (21 bits)
Octal 0o7537477
Hexadecimal 0x1EBF3F

Divisor Catalog (4)

1 13 155,003 2,015,039

Collatz Trajectory (197 steps to reach 1)

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

2,015,039 6,045,118 3,022,559 9,067,678 4,533,839 13,601,518 6,800,759 20,402,278 10,201,139 30,603,418 15,301,709 45,905,128 22,952,564 11,476,282 5,738,141 17,214,424 8,607,212 4,303,606 2,151,803 6,455,410 3,227,705 9,683,116 4,841,558 2,420,779 7,262,338 3,631,169 10,893,508 5,446,754 2,723,377 8,170,132 4,085,066 2,042,533 6,127,600 3,063,800 1,531,900 765,950 382,975 1,148,926 574,463 1,723,390 861,695 2,585,086 1,292,543 3,877,630 1,938,815 5,816,446 2,908,223 8,724,670 4,362,335 13,087,006 6,543,503 19,630,510 9,815,255 29,445,766 14,722,883 44,168,650 22,084,325 66,252,976 33,126,488 16,563,244

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