λ
Prime Ledger

3,127,172

22 × 19 × 23 × 1789
Deficient Even Composite

3,127,172 has the prime decomposition 2^2 × 19 × 23 × 1789. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 23 × 1789
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,014,400
Proper Divisor Sum 2,887,228
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3127147 ← → #3127181

Radix Representation

Decimal 3127172
Binary 1011111011011110000100 (22 bits)
Octal 0o13733604
Hexadecimal 0x2FB784

Divisor Catalog (24)

1 2 4 19 23 38 46 76 92 437 874 1,748 1,789 3,578 7,156 33,991 41,147 67,982 82,294 135,964 164,588 781,793 1,563,586 3,127,172

Collatz Trajectory (208 steps to reach 1)

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

3,127,172 1,563,586 781,793 2,345,380 1,172,690 586,345 1,759,036 879,518 439,759 1,319,278 659,639 1,978,918 989,459 2,968,378 1,484,189 4,452,568 2,226,284 1,113,142 556,571 1,669,714 834,857 2,504,572 1,252,286 626,143 1,878,430 939,215 2,817,646 1,408,823 4,226,470 2,113,235 6,339,706 3,169,853 9,509,560 4,754,780 2,377,390 1,188,695 3,566,086 1,783,043 5,349,130 2,674,565 8,023,696 4,011,848 2,005,924 1,002,962 501,481 1,504,444 752,222 376,111 1,128,334 564,167 1,692,502 846,251 2,538,754 1,269,377 3,808,132 1,904,066 952,033 2,856,100 1,428,050 714,025

More profiles

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