λ
Ratio Atlas

59,253,586

2 × 7 × 31 × 311 × 439
Deficient Even Composite

59,253,586 factors as 2 × 7 × 31 × 311 × 439. Its 32 positive divisors give a proper-divisor sum of 46,177,454, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 311 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 105,431,040
Proper Divisor Sum 46,177,454
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #59253581 ← → #59253671

Radix Representation

Decimal 59253586
Binary 11100010000010001101010010 (26 bits)
Octal 0o342021522
Hexadecimal 0x3882352

Divisor Catalog (32)

Collatz Trajectory (207 steps to reach 1)

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

59,253,586 29,626,793 88,880,380 44,440,190 22,220,095 66,660,286 33,330,143 99,990,430 49,995,215 149,985,646 74,992,823 224,978,470 112,489,235 337,467,706 168,733,853 506,201,560 253,100,780 126,550,390 63,275,195 189,825,586 94,912,793 284,738,380 142,369,190 71,184,595 213,553,786 106,776,893 320,330,680 160,165,340 80,082,670 40,041,335 120,124,006 60,062,003 180,186,010 90,093,005 270,279,016 135,139,508 67,569,754 33,784,877 101,354,632 50,677,316 25,338,658 12,669,329 38,007,988 19,003,994 9,501,997 28,505,992 14,252,996 7,126,498 3,563,249 10,689,748 5,344,874 2,672,437 8,017,312 4,008,656 2,004,328 1,002,164 501,082 250,541 751,624 375,812

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