λ
Prime Ledger

3,143,160

23 × 32 × 5 × 8731
Abundant Even Composite

3,143,160 has the prime decomposition 2^3 × 3^2 × 5 × 8731. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 8731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,216,440
Proper Divisor Sum 7,073,280
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3143159 ← → #3143167

Radix Representation

Decimal 3143160
Binary 1011111111010111111000 (22 bits)
Octal 0o13772770
Hexadecimal 0x2FF5F8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8,731 17,462 26,193 34,924 43,655 52,386 69,848 78,579 87,310 104,772 130,965 157,158 174,620 209,544 261,930 314,316 349,240 392,895 523,860 628,632 785,790 1,047,720 1,571,580 3,143,160

Collatz Trajectory (133 steps to reach 1)

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

3,143,160 1,571,580 785,790 392,895 1,178,686 589,343 1,768,030 884,015 2,652,046 1,326,023 3,978,070 1,989,035 5,967,106 2,983,553 8,950,660 4,475,330 2,237,665 6,712,996 3,356,498 1,678,249 5,034,748 2,517,374 1,258,687 3,776,062 1,888,031 5,664,094 2,832,047 8,496,142 4,248,071 12,744,214 6,372,107 19,116,322 9,558,161 28,674,484 14,337,242 7,168,621 21,505,864 10,752,932 5,376,466 2,688,233 8,064,700 4,032,350 2,016,175 6,048,526 3,024,263 9,072,790 4,536,395 13,609,186 6,804,593 20,413,780 10,206,890 5,103,445 15,310,336 7,655,168 3,827,584 1,913,792 956,896 478,448 239,224 119,612

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