λ
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Atlas › Integer Profiles › Node 59,325,050

59,325,050

2 × 52 × 23 × 79 × 653
Deficient Even Composite

59,325,050 factors as 2 × 5^2 × 23 × 79 × 653. Its 48 positive divisors give a proper-divisor sum of 57,453,190, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 23 × 79 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 116,778,240
Proper Divisor Sum 57,453,190
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #59325043 ← → #59325067

Radix Representation

Decimal 59325050
Binary 11100010010011101001111010 (26 bits)
Octal 0o342235172
Hexadecimal 0x3893A7A

Divisor Catalog (48)

1 2 5 10 23 25 46 50 79 115 158 230 395 575 653 790 1,150 1,306 1,817 1,975 3,265 3,634 3,950 6,530 9,085 15,019 16,325 18,170 30,038 32,650 45,425 51,587 75,095 90,850 103,174 150,190 257,935 375,475 515,870 750,950 1,186,501 1,289,675 2,373,002 2,579,350 5,932,505 11,865,010 29,662,525 59,325,050

Collatz Trajectory (189 steps to reach 1)

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

59,325,050 29,662,525 88,987,576 44,493,788 22,246,894 11,123,447 33,370,342 16,685,171 50,055,514 25,027,757 75,083,272 37,541,636 18,770,818 9,385,409 28,156,228 14,078,114 7,039,057 21,117,172 10,558,586 5,279,293 15,837,880 7,918,940 3,959,470 1,979,735 5,939,206 2,969,603 8,908,810 4,454,405 13,363,216 6,681,608 3,340,804 1,670,402 835,201 2,505,604 1,252,802 626,401 1,879,204 939,602 469,801 1,409,404 704,702 352,351 1,057,054 528,527 1,585,582 792,791 2,378,374 1,189,187 3,567,562 1,783,781 5,351,344 2,675,672 1,337,836 668,918 334,459 1,003,378 501,689 1,505,068 752,534 376,267

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