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Atlas › Integer Profiles › Node 79,200,730

79,200,730

2 × 5 × 7 × 23 × 49193
Abundant Even Composite

79,200,730 factors as 2 × 5 × 7 × 23 × 49193. Its 32 positive divisors give a proper-divisor sum of 90,813,734, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 23 × 49193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 170,014,464
Proper Divisor Sum 90,813,734
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #79200727 ← → #79200731

Radix Representation

Decimal 79200730
Binary 100101110001000000111011010 (27 bits)
Octal 0o456100732
Hexadecimal 0x4B881DA

Divisor Catalog (32)

1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1,610 49,193 98,386 245,965 344,351 491,930 688,702 1,131,439 1,721,755 2,262,878 3,443,510 5,657,195 7,920,073 11,314,390 15,840,146 39,600,365 79,200,730

Collatz Trajectory (148 steps to reach 1)

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

79,200,730 39,600,365 118,801,096 59,400,548 29,700,274 14,850,137 44,550,412 22,275,206 11,137,603 33,412,810 16,706,405 50,119,216 25,059,608 12,529,804 6,264,902 3,132,451 9,397,354 4,698,677 14,096,032 7,048,016 3,524,008 1,762,004 881,002 440,501 1,321,504 660,752 330,376 165,188 82,594 41,297 123,892 61,946 30,973 92,920 46,460 23,230 11,615 34,846 17,423 52,270 26,135 78,406 39,203 117,610 58,805 176,416 88,208 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958

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