λ
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59,210,656

25 × 37 × 43 × 1163
Abundant Even Composite

59,210,656 factors as 2^5 × 37 × 43 × 1163. Its 48 positive divisors give a proper-divisor sum of 63,400,448, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 43 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 122,611,104
Proper Divisor Sum 63,400,448
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #59210639 ← → #59210681

Radix Representation

Decimal 59210656
Binary 11100001110111101110100000 (26 bits)
Octal 0o341675640
Hexadecimal 0x3877BA0

Divisor Catalog (48)

1 2 4 8 16 32 37 43 74 86 148 172 296 344 592 688 1,163 1,184 1,376 1,591 2,326 3,182 4,652 6,364 9,304 12,728 18,608 25,456 37,216 43,031 50,009 50,912 86,062 100,018 172,124 200,036 344,248 400,072 688,496 800,144 1,376,992 1,600,288 1,850,333 3,700,666 7,401,332 14,802,664 29,605,328 59,210,656

Collatz Trajectory (88 steps to reach 1)

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

59,210,656 29,605,328 14,802,664 7,401,332 3,700,666 1,850,333 5,551,000 2,775,500 1,387,750 693,875 2,081,626 1,040,813 3,122,440 1,561,220 780,610 390,305 1,170,916 585,458 292,729 878,188 439,094 219,547 658,642 329,321 987,964 493,982 246,991 740,974 370,487 1,111,462 555,731 1,667,194 833,597 2,500,792 1,250,396 625,198 312,599 937,798 468,899 1,406,698 703,349 2,110,048 1,055,024 527,512 263,756 131,878 65,939 197,818 98,909 296,728 148,364 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432

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