λ
Prime Ledger

6,057,036

22 × 32 × 311 × 541
Abundant Even Composite

6,057,036 has the prime decomposition 2^2 × 3^2 × 311 × 541. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 311 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,388,464
Proper Divisor Sum 9,331,428
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6057019 ← → #6057061

Radix Representation

Decimal 6057036
Binary 10111000110110001001100 (23 bits)
Octal 0o27066114
Hexadecimal 0x5C6C4C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 311 541 622 933 1,082 1,244 1,623 1,866 2,164 2,799 3,246 3,732 4,869 5,598 6,492 9,738 11,196 19,476 168,251 336,502 504,753 673,004 1,009,506 1,514,259 2,019,012 3,028,518 6,057,036

Collatz Trajectory (90 steps to reach 1)

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

6,057,036 3,028,518 1,514,259 4,542,778 2,271,389 6,814,168 3,407,084 1,703,542 851,771 2,555,314 1,277,657 3,832,972 1,916,486 958,243 2,874,730 1,437,365 4,312,096 2,156,048 1,078,024 539,012 269,506 134,753 404,260 202,130 101,065 303,196 151,598 75,799 227,398 113,699 341,098 170,549 511,648 255,824 127,912 63,956 31,978 15,989 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178

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