λ
Prime Ledger

6,032,140

22 × 5 × 197 × 1531
Abundant Even Composite

6,032,140 has the prime decomposition 2^2 × 5 × 197 × 1531. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 197 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,740,112
Proper Divisor Sum 6,707,972
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #6032129 ← → #6032149

Radix Representation

Decimal 6032140
Binary 10111000000101100001100 (23 bits)
Octal 0o27005414
Hexadecimal 0x5C0B0C

Divisor Catalog (24)

1 2 4 5 10 20 197 394 788 985 1,531 1,970 3,062 3,940 6,124 7,655 15,310 30,620 301,607 603,214 1,206,428 1,508,035 3,016,070 6,032,140

Collatz Trajectory (139 steps to reach 1)

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

6,032,140 3,016,070 1,508,035 4,524,106 2,262,053 6,786,160 3,393,080 1,696,540 848,270 424,135 1,272,406 636,203 1,908,610 954,305 2,862,916 1,431,458 715,729 2,147,188 1,073,594 536,797 1,610,392 805,196 402,598 201,299 603,898 301,949 905,848 452,924 226,462 113,231 339,694 169,847 509,542 254,771 764,314 382,157 1,146,472 573,236 286,618 143,309 429,928 214,964 107,482 53,741 161,224 80,612 40,306 20,153 60,460 30,230 15,115 45,346 22,673 68,020 34,010 17,005 51,016 25,508 12,754 6,377

More profiles

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