λ
Prime Ledger

3,188,282

2 × 17 × 79 × 1187
Deficient Even Composite

3,188,282 has the prime decomposition 2 × 17 × 79 × 1187. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 79 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,132,160
Proper Divisor Sum 1,943,878
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3188261 ← → #3188291

Radix Representation

Decimal 3188282
Binary 1100001010011000111010 (22 bits)
Octal 0o14123072
Hexadecimal 0x30A63A

Divisor Catalog (16)

1 2 17 34 79 158 1,187 1,343 2,374 2,686 20,179 40,358 93,773 187,546 1,594,141 3,188,282

Collatz Trajectory (102 steps to reach 1)

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

3,188,282 1,594,141 4,782,424 2,391,212 1,195,606 597,803 1,793,410 896,705 2,690,116 1,345,058 672,529 2,017,588 1,008,794 504,397 1,513,192 756,596 378,298 189,149 567,448 283,724 141,862 70,931 212,794 106,397 319,192 159,596 79,798 39,899 119,698 59,849 179,548 89,774 44,887 134,662 67,331 201,994 100,997 302,992 151,496 75,748 37,874 18,937 56,812 28,406 14,203 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225

More profiles

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