λ
Prime Ledger

3,622,042

2 × 29 × 197 × 317
Deficient Even Composite

3,622,042 has the prime decomposition 2 × 29 × 197 × 317. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 197 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,666,760
Proper Divisor Sum 2,044,718
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3622039 ← → #3622043

Radix Representation

Decimal 3622042
Binary 1101110100010010011010 (22 bits)
Octal 0o15642232
Hexadecimal 0x37449A

Divisor Catalog (16)

1 2 29 58 197 317 394 634 5,713 9,193 11,426 18,386 62,449 124,898 1,811,021 3,622,042

Collatz Trajectory (159 steps to reach 1)

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

3,622,042 1,811,021 5,433,064 2,716,532 1,358,266 679,133 2,037,400 1,018,700 509,350 254,675 764,026 382,013 1,146,040 573,020 286,510 143,255 429,766 214,883 644,650 322,325 966,976 483,488 241,744 120,872 60,436 30,218 15,109 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646

More profiles

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