λ
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Atlas › Integer Profiles › Node 59,453,090

59,453,090

2 × 5 × 192 × 43 × 383
Deficient Even Composite

59,453,090 factors as 2 × 5 × 19^2 × 43 × 383. Its 48 positive divisors give a proper-divisor sum of 56,419,678, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19^2 × 43 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,872,768
Proper Divisor Sum 56,419,678
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #59453087 ← → #59453099

Radix Representation

Decimal 59453090
Binary 11100010110010111010100010 (26 bits)
Octal 0o342627242
Hexadecimal 0x38B2EA2

Divisor Catalog (48)

1 2 5 10 19 38 43 86 95 190 215 361 383 430 722 766 817 1,634 1,805 1,915 3,610 3,830 4,085 7,277 8,170 14,554 15,523 16,469 31,046 32,938 36,385 72,770 77,615 82,345 138,263 155,230 164,690 276,526 312,911 625,822 691,315 1,382,630 1,564,555 3,129,110 5,945,309 11,890,618 29,726,545 59,453,090

Collatz Trajectory (168 steps to reach 1)

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

59,453,090 29,726,545 89,179,636 44,589,818 22,294,909 66,884,728 33,442,364 16,721,182 8,360,591 25,081,774 12,540,887 37,622,662 18,811,331 56,433,994 28,216,997 84,650,992 42,325,496 21,162,748 10,581,374 5,290,687 15,872,062 7,936,031 23,808,094 11,904,047 35,712,142 17,856,071 53,568,214 26,784,107 80,352,322 40,176,161 120,528,484 60,264,242 30,132,121 90,396,364 45,198,182 22,599,091 67,797,274 33,898,637 101,695,912 50,847,956 25,423,978 12,711,989 38,135,968 19,067,984 9,533,992 4,766,996 2,383,498 1,191,749 3,575,248 1,787,624 893,812 446,906 223,453 670,360 335,180 167,590 83,795 251,386 125,693 377,080

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