λ
Prime Ledger

3,725,175

3 × 52 × 49669
Deficient Odd Composite

3,725,175 has the prime decomposition 3 × 5^2 × 49669. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 49669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,159,080
Proper Divisor Sum 2,433,905
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3725153 ← → #3725179

Radix Representation

Decimal 3725175
Binary 1110001101011101110111 (22 bits)
Octal 0o16153567
Hexadecimal 0x38D777

Divisor Catalog (12)

1 3 5 15 25 75 49,669 149,007 248,345 745,035 1,241,725 3,725,175

Collatz Trajectory (84 steps to reach 1)

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

3,725,175 11,175,526 5,587,763 16,763,290 8,381,645 25,144,936 12,572,468 6,286,234 3,143,117 9,429,352 4,714,676 2,357,338 1,178,669 3,536,008 1,768,004 884,002 442,001 1,326,004 663,002 331,501 994,504 497,252 248,626 124,313 372,940 186,470 93,235 279,706 139,853 419,560 209,780 104,890 52,445 157,336 78,668 39,334 19,667 59,002 29,501 88,504 44,252 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632

More profiles

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