λ
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52,536,460

22 × 5 × 17 × 191 × 809
Abundant Even Composite

52,536,460 factors as 2^2 × 5 × 17 × 191 × 809. Its 48 positive divisors give a proper-divisor sum of 65,036,660, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 191 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 117,573,120
Proper Divisor Sum 65,036,660
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #52536431 ← → #52536479

Radix Representation

Decimal 52536460
Binary 11001000011010010010001100 (26 bits)
Octal 0o310322214
Hexadecimal 0x321A48C

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 85 170 191 340 382 764 809 955 1,618 1,910 3,236 3,247 3,820 4,045 6,494 8,090 12,988 13,753 16,180 16,235 27,506 32,470 55,012 64,940 68,765 137,530 154,519 275,060 309,038 618,076 772,595 1,545,190 2,626,823 3,090,380 5,253,646 10,507,292 13,134,115 26,268,230 52,536,460

Collatz Trajectory (243 steps to reach 1)

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

52,536,460 26,268,230 13,134,115 39,402,346 19,701,173 59,103,520 29,551,760 14,775,880 7,387,940 3,693,970 1,846,985 5,540,956 2,770,478 1,385,239 4,155,718 2,077,859 6,233,578 3,116,789 9,350,368 4,675,184 2,337,592 1,168,796 584,398 292,199 876,598 438,299 1,314,898 657,449 1,972,348 986,174 493,087 1,479,262 739,631 2,218,894 1,109,447 3,328,342 1,664,171 4,992,514 2,496,257 7,488,772 3,744,386 1,872,193 5,616,580 2,808,290 1,404,145 4,212,436 2,106,218 1,053,109 3,159,328 1,579,664 789,832 394,916 197,458 98,729 296,188 148,094 74,047 222,142 111,071 333,214

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