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Atlas › Integer Profiles › Node 16,005,180

16,005,180

22 × 3 × 5 × 61 × 4373
Abundant Even Composite

16,005,180 factors as 2^2 × 3 × 5 × 61 × 4373. Its 48 positive divisors give a proper-divisor sum of 29,554,404, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 61 × 4373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 45,559,584
Proper Divisor Sum 29,554,404
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #16005173 ← → #16005181

Radix Representation

Decimal 16005180
Binary 111101000011100000111100 (24 bits)
Octal 0o75034074
Hexadecimal 0xF4383C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1,220 1,830 3,660 4,373 8,746 13,119 17,492 21,865 26,238 43,730 52,476 65,595 87,460 131,190 262,380 266,753 533,506 800,259 1,067,012 1,333,765 1,600,518 2,667,530 3,201,036 4,001,295 5,335,060 8,002,590 16,005,180

Collatz Trajectory (94 steps to reach 1)

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

16,005,180 8,002,590 4,001,295 12,003,886 6,001,943 18,005,830 9,002,915 27,008,746 13,504,373 40,513,120 20,256,560 10,128,280 5,064,140 2,532,070 1,266,035 3,798,106 1,899,053 5,697,160 2,848,580 1,424,290 712,145 2,136,436 1,068,218 534,109 1,602,328 801,164 400,582 200,291 600,874 300,437 901,312 450,656 225,328 112,664 56,332 28,166 14,083 42,250 21,125 63,376 31,688 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928

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