λ
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52,559,080

23 × 5 × 7 × 187711
Abundant Even Composite

52,559,080 factors as 2^3 × 5 × 7 × 187711. Its 32 positive divisors give a proper-divisor sum of 82,593,560, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 187711
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 135,152,640
Proper Divisor Sum 82,593,560
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52559069 ← → #52559081

Radix Representation

Decimal 52559080
Binary 11001000011111110011101000 (26 bits)
Octal 0o310376350
Hexadecimal 0x321FCE8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 187,711 375,422 750,844 938,555 1,313,977 1,501,688 1,877,110 2,627,954 3,754,220 5,255,908 6,569,885 7,508,440 10,511,816 13,139,770 26,279,540 52,559,080

Collatz Trajectory (212 steps to reach 1)

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

52,559,080 26,279,540 13,139,770 6,569,885 19,709,656 9,854,828 4,927,414 2,463,707 7,391,122 3,695,561 11,086,684 5,543,342 2,771,671 8,315,014 4,157,507 12,472,522 6,236,261 18,708,784 9,354,392 4,677,196 2,338,598 1,169,299 3,507,898 1,753,949 5,261,848 2,630,924 1,315,462 657,731 1,973,194 986,597 2,959,792 1,479,896 739,948 369,974 184,987 554,962 277,481 832,444 416,222 208,111 624,334 312,167 936,502 468,251 1,404,754 702,377 2,107,132 1,053,566 526,783 1,580,350 790,175 2,370,526 1,185,263 3,555,790 1,777,895 5,333,686 2,666,843 8,000,530 4,000,265 12,000,796

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