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Atlas › Integer Profiles › Node 17,833,960

17,833,960

23 × 5 × 61 × 7309
Abundant Even Composite

17,833,960 factors as 2^3 × 5 × 61 × 7309. Its 32 positive divisors give a proper-divisor sum of 22,955,840, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 61 × 7309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,789,800
Proper Divisor Sum 22,955,840
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17833957 ← → #17834017

Radix Representation

Decimal 17833960
Binary 1000100000001111111101000 (25 bits)
Octal 0o104017750
Hexadecimal 0x1101FE8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 61 122 244 305 488 610 1,220 2,440 7,309 14,618 29,236 36,545 58,472 73,090 146,180 292,360 445,849 891,698 1,783,396 2,229,245 3,566,792 4,458,490 8,916,980 17,833,960

Collatz Trajectory (164 steps to reach 1)

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

17,833,960 8,916,980 4,458,490 2,229,245 6,687,736 3,343,868 1,671,934 835,967 2,507,902 1,253,951 3,761,854 1,880,927 5,642,782 2,821,391 8,464,174 4,232,087 12,696,262 6,348,131 19,044,394 9,522,197 28,566,592 14,283,296 7,141,648 3,570,824 1,785,412 892,706 446,353 1,339,060 669,530 334,765 1,004,296 502,148 251,074 125,537 376,612 188,306 94,153 282,460 141,230 70,615 211,846 105,923 317,770 158,885 476,656 238,328 119,164 59,582 29,791 89,374 44,687 134,062 67,031 201,094 100,547 301,642 150,821 452,464 226,232 113,116

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