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Atlas › Integer Profiles › Node 2,071,998

2,071,998

2 × 32 × 43 × 2677
Abundant Even Composite

2,071,998 factors as 2 × 3^2 × 43 × 2677. Its 24 positive divisors give a proper-divisor sum of 2,523,450, so this integer is abundant. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 2677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,595,448
Proper Divisor Sum 2,523,450
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2071997 ← → #2071999

Radix Representation

Decimal 2071998
Binary 111111001110110111110 (21 bits)
Octal 0o7716676
Hexadecimal 0x1F9DBE

Divisor Catalog (24)

1 2 3 6 9 18 43 86 129 258 387 774 2,677 5,354 8,031 16,062 24,093 48,186 115,111 230,222 345,333 690,666 1,035,999 2,071,998

Collatz Trajectory (272 steps to reach 1)

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

2,071,998 1,035,999 3,107,998 1,553,999 4,661,998 2,330,999 6,992,998 3,496,499 10,489,498 5,244,749 15,734,248 7,867,124 3,933,562 1,966,781 5,900,344 2,950,172 1,475,086 737,543 2,212,630 1,106,315 3,318,946 1,659,473 4,978,420 2,489,210 1,244,605 3,733,816 1,866,908 933,454 466,727 1,400,182 700,091 2,100,274 1,050,137 3,150,412 1,575,206 787,603 2,362,810 1,181,405 3,544,216 1,772,108 886,054 443,027 1,329,082 664,541 1,993,624 996,812 498,406 249,203 747,610 373,805 1,121,416 560,708 280,354 140,177 420,532 210,266 105,133 315,400 157,700 78,850

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