17,972,730

2 × 3² × 5 × 199697

17,972,730 factors as 2 × 3^2 × 5 × 199697. Its 24 positive divisors give a proper-divisor sum of 28,756,602, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 199697

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 46,729,332

Proper Divisor Sum 28,756,602

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17972699 ← → #17972741

Radix Representation

Decimal	17972730
Binary	1000100100011110111111010 (25 bits)
Octal	0o104436772
Hexadecimal	0x1123DFA

Divisor Catalog (24)

Collatz Trajectory (164 steps to reach 1)

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

17,972,730 8,986,365 26,959,096 13,479,548 6,739,774 3,369,887 10,109,662 5,054,831 15,164,494 7,582,247 22,746,742 11,373,371 34,120,114 17,060,057 51,180,172 25,590,086 12,795,043 38,385,130 19,192,565 57,577,696 28,788,848 14,394,424 7,197,212 3,598,606 1,799,303 5,397,910 2,698,955 8,096,866 4,048,433 12,145,300 6,072,650 3,036,325 9,108,976 4,554,488 2,277,244 1,138,622 569,311 1,707,934 853,967 2,561,902 1,280,951 3,842,854 1,921,427 5,764,282 2,882,141 8,646,424 4,323,212 2,161,606 1,080,803 3,242,410 1,621,205 4,863,616 2,431,808 1,215,904 607,952 303,976 151,988 75,994 37,997 113,992

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