2,842,018

2 × 23 × 31 × 1993

2,842,018 factors as 2 × 23 × 31 × 1993. Its 16 positive divisors give a proper-divisor sum of 1,752,158, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 23 × 31 × 1993

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,594,176

Proper Divisor Sum 1,752,158

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2841989 ← → #2842031

Radix Representation

Decimal	2842018
Binary	1010110101110110100010 (22 bits)
Octal	0o12656642
Hexadecimal	0x2B5DA2

Divisor Catalog (16)

1 2 23 31 46 62 713 1,426 1,993 3,986 45,839 61,783 91,678 123,566 1,421,009 2,842,018

Collatz Trajectory (213 steps to reach 1)

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

2,842,018 1,421,009 4,263,028 2,131,514 1,065,757 3,197,272 1,598,636 799,318 399,659 1,198,978 599,489 1,798,468 899,234 449,617 1,348,852 674,426 337,213 1,011,640 505,820 252,910 126,455 379,366 189,683 569,050 284,525 853,576 426,788 213,394 106,697 320,092 160,046 80,023 240,070 120,035 360,106 180,053 540,160 270,080 135,040 67,520 33,760 16,880 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007

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