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Atlas › Integer Profiles › Node 2,844,262

2,844,262

2 × 19 × 292 × 89
Deficient Even Composite

2,844,262 factors as 2 × 19 × 29^2 × 89. Its 24 positive divisors give a proper-divisor sum of 1,859,138, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2 × 19 × 29^2 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,703,400
Proper Divisor Sum 1,859,138
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2844251 ← → #2844263

Radix Representation

Decimal 2844262
Binary 1010110110011001100110 (22 bits)
Octal 0o12663146
Hexadecimal 0x2B6666

Divisor Catalog (24)

1 2 19 29 38 58 89 178 551 841 1,102 1,682 1,691 2,581 3,382 5,162 15,979 31,958 49,039 74,849 98,078 149,698 1,422,131 2,844,262

Collatz Trajectory (99 steps to reach 1)

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

2,844,262 1,422,131 4,266,394 2,133,197 6,399,592 3,199,796 1,599,898 799,949 2,399,848 1,199,924 599,962 299,981 899,944 449,972 224,986 112,493 337,480 168,740 84,370 42,185 126,556 63,278 31,639 94,918 47,459 142,378 71,189 213,568 106,784 53,392 26,696 13,348 6,674 3,337 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010

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