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Atlas › Integer Profiles › Node 18,418,840

18,418,840

23 × 5 × 11 × 41 × 1021
Abundant Even Composite

18,418,840 factors as 2^3 × 5 × 11 × 41 × 1021. Its 64 positive divisors give a proper-divisor sum of 27,939,080, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 41 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 46,357,920
Proper Divisor Sum 27,939,080
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18418831 ← → #18418861

Radix Representation

Decimal 18418840
Binary 1000110010000110010011000 (25 bits)
Octal 0o106206230
Hexadecimal 0x1190C98

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1,021 1,640 1,804 2,042 2,255 3,608 4,084 4,510 5,105 8,168 9,020 10,210 11,231 18,040 20,420 22,462 40,840 41,861 44,924 56,155 83,722 89,848 112,310 167,444 209,305 224,620 334,888 418,610 449,240 460,471 837,220 920,942 1,674,440 1,841,884 2,302,355

Collatz Trajectory (195 steps to reach 1)

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

18,418,840 9,209,420 4,604,710 2,302,355 6,907,066 3,453,533 10,360,600 5,180,300 2,590,150 1,295,075 3,885,226 1,942,613 5,827,840 2,913,920 1,456,960 728,480 364,240 182,120 91,060 45,530 22,765 68,296 34,148 17,074 8,537 25,612 12,806 6,403 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250

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