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Atlas › Integer Profiles › Node 2,330,262

2,330,262

2 × 33 × 11 × 3923
Abundant Even Composite

2,330,262 factors as 2 × 3^3 × 11 × 3923. Its 32 positive divisors give a proper-divisor sum of 3,320,298, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 3923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,650,560
Proper Divisor Sum 3,320,298
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2330249 ← → #2330281

Radix Representation

Decimal 2330262
Binary 1000111000111010010110 (22 bits)
Octal 0o10707226
Hexadecimal 0x238E96

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 3,923 7,846 11,769 23,538 35,307 43,153 70,614 86,306 105,921 129,459 211,842 258,918 388,377 776,754 1,165,131 2,330,262

Collatz Trajectory (192 steps to reach 1)

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

2,330,262 1,165,131 3,495,394 1,747,697 5,243,092 2,621,546 1,310,773 3,932,320 1,966,160 983,080 491,540 245,770 122,885 368,656 184,328 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470

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