λ
Prime Ledger

3,188,712

23 × 3 × 132863
Abundant Even Composite

3,188,712 has the prime decomposition 2^3 × 3 × 132863. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 132863
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,971,840
Proper Divisor Sum 4,783,128
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3188711 ← → #3188723

Radix Representation

Decimal 3188712
Binary 1100001010011111101000 (22 bits)
Octal 0o14123750
Hexadecimal 0x30A7E8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 132,863 265,726 398,589 531,452 797,178 1,062,904 1,594,356 3,188,712

Collatz Trajectory (133 steps to reach 1)

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

3,188,712 1,594,356 797,178 398,589 1,195,768 597,884 298,942 149,471 448,414 224,207 672,622 336,311 1,008,934 504,467 1,513,402 756,701 2,270,104 1,135,052 567,526 283,763 851,290 425,645 1,276,936 638,468 319,234 159,617 478,852 239,426 119,713 359,140 179,570 89,785 269,356 134,678 67,339 202,018 101,009 303,028 151,514 75,757 227,272 113,636 56,818 28,409 85,228 42,614 21,307 63,922 31,961 95,884 47,942 23,971 71,914 35,957 107,872 53,936 26,968 13,484 6,742 3,371

More profiles

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