λ
Prime Ledger

6,675,042

2 × 3 × 11 × 19 × 5323
Abundant Even Composite

6,675,042 has the prime decomposition 2 × 3 × 11 × 19 × 5323. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 19 × 5323
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,333,120
Proper Divisor Sum 8,658,078
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6675029 ← → #6675043

Radix Representation

Decimal 6675042
Binary 11001011101101001100010 (23 bits)
Octal 0o31355142
Hexadecimal 0x65DA62

Divisor Catalog (32)

1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1,254 5,323 10,646 15,969 31,938 58,553 101,137 117,106 175,659 202,274 303,411 351,318 606,822 1,112,507 2,225,014 3,337,521 6,675,042

Collatz Trajectory (209 steps to reach 1)

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

6,675,042 3,337,521 10,012,564 5,006,282 2,503,141 7,509,424 3,754,712 1,877,356 938,678 469,339 1,408,018 704,009 2,112,028 1,056,014 528,007 1,584,022 792,011 2,376,034 1,188,017 3,564,052 1,782,026 891,013 2,673,040 1,336,520 668,260 334,130 167,065 501,196 250,598 125,299 375,898 187,949 563,848 281,924 140,962 70,481 211,444 105,722 52,861 158,584 79,292 39,646 19,823 59,470 29,735 89,206 44,603 133,810 66,905 200,716 100,358 50,179 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340

More profiles

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