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Atlas › Integer Profiles › Node 4,884,030

4,884,030

2 × 33 × 5 × 18089
Abundant Even Composite

4,884,030 factors as 2 × 3^3 × 5 × 18089. Its 32 positive divisors give a proper-divisor sum of 8,140,770, so this integer is abundant. The Collatz stopping time is 330 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 18089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,024,800
Proper Divisor Sum 8,140,770
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4884029 ← → #4884031

Radix Representation

Decimal 4884030
Binary 10010101000011000111110 (23 bits)
Octal 0o22503076
Hexadecimal 0x4A863E

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 18,089 36,178 54,267 90,445 108,534 162,801 180,890 271,335 325,602 488,403 542,670 814,005 976,806 1,628,010 2,442,015 4,884,030

Collatz Trajectory (330 steps to reach 1)

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

4,884,030 2,442,015 7,326,046 3,663,023 10,989,070 5,494,535 16,483,606 8,241,803 24,725,410 12,362,705 37,088,116 18,544,058 9,272,029 27,816,088 13,908,044 6,954,022 3,477,011 10,431,034 5,215,517 15,646,552 7,823,276 3,911,638 1,955,819 5,867,458 2,933,729 8,801,188 4,400,594 2,200,297 6,600,892 3,300,446 1,650,223 4,950,670 2,475,335 7,426,006 3,713,003 11,139,010 5,569,505 16,708,516 8,354,258 4,177,129 12,531,388 6,265,694 3,132,847 9,398,542 4,699,271 14,097,814 7,048,907 21,146,722 10,573,361 31,720,084 15,860,042 7,930,021 23,790,064 11,895,032 5,947,516 2,973,758 1,486,879 4,460,638 2,230,319 6,690,958

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