λ
Prime Ledger

3,780,250

2 × 53 × 15121
Deficient Even Composite

3,780,250 has the prime decomposition 2 × 5^3 × 15121. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 15121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,077,096
Proper Divisor Sum 3,296,846
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3780247 ← → #3780251

Radix Representation

Decimal 3780250
Binary 1110011010111010011010 (22 bits)
Octal 0o16327232
Hexadecimal 0x39AE9A

Divisor Catalog (16)

1 2 5 10 25 50 125 250 15,121 30,242 75,605 151,210 378,025 756,050 1,890,125 3,780,250

Collatz Trajectory (110 steps to reach 1)

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

3,780,250 1,890,125 5,670,376 2,835,188 1,417,594 708,797 2,126,392 1,063,196 531,598 265,799 797,398 398,699 1,196,098 598,049 1,794,148 897,074 448,537 1,345,612 672,806 336,403 1,009,210 504,605 1,513,816 756,908 378,454 189,227 567,682 283,841 851,524 425,762 212,881 638,644 319,322 159,661 478,984 239,492 119,746 59,873 179,620 89,810 44,905 134,716 67,358 33,679 101,038 50,519 151,558 75,779 227,338 113,669 341,008 170,504 85,252 42,626 21,313 63,940 31,970 15,985 47,956 23,978

More profiles

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