λ
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Atlas › Integer Profiles › Node 58,031,530

58,031,530

2 × 5 × 23 × 191 × 1321
Deficient Even Composite

58,031,530 factors as 2 × 5 × 23 × 191 × 1321. Its 32 positive divisors give a proper-divisor sum of 51,620,438, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 191 × 1321
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 109,651,968
Proper Divisor Sum 51,620,438
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #58031509 ← → #58031531

Radix Representation

Decimal 58031530
Binary 11011101010111110110101010 (26 bits)
Octal 0o335276652
Hexadecimal 0x3757DAA

Divisor Catalog (32)

1 2 5 10 23 46 115 191 230 382 955 1,321 1,910 2,642 4,393 6,605 8,786 13,210 21,965 30,383 43,930 60,766 151,915 252,311 303,830 504,622 1,261,555 2,523,110 5,803,153 11,606,306 29,015,765 58,031,530

Collatz Trajectory (163 steps to reach 1)

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

58,031,530 29,015,765 87,047,296 43,523,648 21,761,824 10,880,912 5,440,456 2,720,228 1,360,114 680,057 2,040,172 1,020,086 510,043 1,530,130 765,065 2,295,196 1,147,598 573,799 1,721,398 860,699 2,582,098 1,291,049 3,873,148 1,936,574 968,287 2,904,862 1,452,431 4,357,294 2,178,647 6,535,942 3,267,971 9,803,914 4,901,957 14,705,872 7,352,936 3,676,468 1,838,234 919,117 2,757,352 1,378,676 689,338 344,669 1,034,008 517,004 258,502 129,251 387,754 193,877 581,632 290,816 145,408 72,704 36,352 18,176 9,088 4,544 2,272 1,136 568 284

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