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Atlas › Integer Profiles › Node 6,152,166

6,152,166

2 × 33 × 59 × 1931
Abundant Even Composite

6,152,166 factors as 2 × 3^3 × 59 × 1931. Its 32 positive divisors give a proper-divisor sum of 7,758,234, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 59 × 1931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,910,400
Proper Divisor Sum 7,758,234
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6152161 ← → #6152189

Radix Representation

Decimal 6152166
Binary 10111011101111111100110 (23 bits)
Octal 0o27357746
Hexadecimal 0x5DDFE6

Divisor Catalog (32)

1 2 3 6 9 18 27 54 59 118 177 354 531 1,062 1,593 1,931 3,186 3,862 5,793 11,586 17,379 34,758 52,137 104,274 113,929 227,858 341,787 683,574 1,025,361 2,050,722 3,076,083 6,152,166

Collatz Trajectory (103 steps to reach 1)

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

6,152,166 3,076,083 9,228,250 4,614,125 13,842,376 6,921,188 3,460,594 1,730,297 5,190,892 2,595,446 1,297,723 3,893,170 1,946,585 5,839,756 2,919,878 1,459,939 4,379,818 2,189,909 6,569,728 3,284,864 1,642,432 821,216 410,608 205,304 102,652 51,326 25,663 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084

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