λ
Prime Ledger

3,888,762

2 × 3 × 167 × 3881
Abundant Even Composite

3,888,762 has the prime decomposition 2 × 3 × 167 × 3881. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 167 × 3881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,826,112
Proper Divisor Sum 3,937,350
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3888761 ← → #3888763

Radix Representation

Decimal 3888762
Binary 1110110101011001111010 (22 bits)
Octal 0o16653172
Hexadecimal 0x3B567A

Divisor Catalog (16)

1 2 3 6 167 334 501 1,002 3,881 7,762 11,643 23,286 648,127 1,296,254 1,944,381 3,888,762

Collatz Trajectory (92 steps to reach 1)

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

3,888,762 1,944,381 5,833,144 2,916,572 1,458,286 729,143 2,187,430 1,093,715 3,281,146 1,640,573 4,921,720 2,460,860 1,230,430 615,215 1,845,646 922,823 2,768,470 1,384,235 4,152,706 2,076,353 6,229,060 3,114,530 1,557,265 4,671,796 2,335,898 1,167,949 3,503,848 1,751,924 875,962 437,981 1,313,944 656,972 328,486 164,243 492,730 246,365 739,096 369,548 184,774 92,387 277,162 138,581 415,744 207,872 103,936 51,968 25,984 12,992 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688

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