λ
Prime Ledger

6,102,876

22 × 3 × 13 × 19 × 29 × 71
Abundant Even Composite

6,102,876 has the prime decomposition 2^2 × 3 × 13 × 19 × 29 × 71. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 19 × 29 × 71
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 16,934,400
Proper Divisor Sum 10,831,524
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6102871 ← → #6102893

Radix Representation

Decimal 6102876
Binary 10111010001111101011100 (23 bits)
Octal 0o27217534
Hexadecimal 0x5D1F5C

Divisor Catalog (60 of 96)

1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 71 76 78 87 114 116 142 156 174 213 228 247 284 348 377 426 494 551 741 754 852 923 988 1,102 1,131 1,349 1,482 1,508 1,653 1,846 2,059 2,204 2,262 2,698 2,769 2,964 3,306 3,692 4,047 4,118 4,524 5,396 5,538 6,177 6,612

Collatz Trajectory (258 steps to reach 1)

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

6,102,876 3,051,438 1,525,719 4,577,158 2,288,579 6,865,738 3,432,869 10,298,608 5,149,304 2,574,652 1,287,326 643,663 1,930,990 965,495 2,896,486 1,448,243 4,344,730 2,172,365 6,517,096 3,258,548 1,629,274 814,637 2,443,912 1,221,956 610,978 305,489 916,468 458,234 229,117 687,352 343,676 171,838 85,919 257,758 128,879 386,638 193,319 579,958 289,979 869,938 434,969 1,304,908 652,454 326,227 978,682 489,341 1,468,024 734,012 367,006 183,503 550,510 275,255 825,766 412,883 1,238,650 619,325 1,857,976 928,988 464,494 232,247

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