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Atlas › Integer Profiles › Node 17,836,720

17,836,720

24 × 5 × 11 × 20269
Abundant Even Composite

17,836,720 factors as 2^4 × 5 × 11 × 20269. Its 40 positive divisors give a proper-divisor sum of 27,405,920, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 20269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 45,242,640
Proper Divisor Sum 27,405,920
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17836717 ← → #17836733

Radix Representation

Decimal 17836720
Binary 1000100000010101010110000 (25 bits)
Octal 0o104025260
Hexadecimal 0x1102AB0

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 20,269 40,538 81,076 101,345 162,152 202,690 222,959 324,304 405,380 445,918 810,760 891,836 1,114,795 1,621,520 1,783,672 2,229,590 3,567,344 4,459,180 8,918,360 17,836,720

Collatz Trajectory (120 steps to reach 1)

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

17,836,720 8,918,360 4,459,180 2,229,590 1,114,795 3,344,386 1,672,193 5,016,580 2,508,290 1,254,145 3,762,436 1,881,218 940,609 2,821,828 1,410,914 705,457 2,116,372 1,058,186 529,093 1,587,280 793,640 396,820 198,410 99,205 297,616 148,808 74,404 37,202 18,601 55,804 27,902 13,951 41,854 20,927 62,782 31,391 94,174 47,087 141,262 70,631 211,894 105,947 317,842 158,921 476,764 238,382 119,191 357,574 178,787 536,362 268,181 804,544 402,272 201,136 100,568 50,284 25,142 12,571 37,714 18,857

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