λ
Prime Ledger

6,140,200

23 × 52 × 11 × 2791
Abundant Even Composite

6,140,200 has the prime decomposition 2^3 × 5^2 × 11 × 2791. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 11 × 2791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,579,360
Proper Divisor Sum 9,439,160
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #6140191 ← → #6140207

Radix Representation

Decimal 6140200
Binary 10111011011000100101000 (23 bits)
Octal 0o27330450
Hexadecimal 0x5DB128

Divisor Catalog (48)

1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1,100 2,200 2,791 5,582 11,164 13,955 22,328 27,910 30,701 55,820 61,402 69,775 111,640 122,804 139,550 153,505 245,608 279,100 307,010 558,200 614,020 767,525 1,228,040 1,535,050 3,070,100 6,140,200

Collatz Trajectory (103 steps to reach 1)

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

6,140,200 3,070,100 1,535,050 767,525 2,302,576 1,151,288 575,644 287,822 143,911 431,734 215,867 647,602 323,801 971,404 485,702 242,851 728,554 364,277 1,092,832 546,416 273,208 136,604 68,302 34,151 102,454 51,227 153,682 76,841 230,524 115,262 57,631 172,894 86,447 259,342 129,671 389,014 194,507 583,522 291,761 875,284 437,642 218,821 656,464 328,232 164,116 82,058 41,029 123,088 61,544 30,772 15,386 7,693 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082

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