λ
Math Directory

2,671,225

52 × 59 × 1811
Deficient Odd Composite

2,671,225 factors as 5^2 × 59 × 1811. Its 12 positive divisors give a proper-divisor sum of 699,095, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 5^2 × 59 × 1811
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,370,320
Proper Divisor Sum 699,095
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2671211 ← → #2671231

Radix Representation

Decimal 2671225
Binary 1010001100001001111001 (22 bits)
Octal 0o12141171
Hexadecimal 0x28C279

Divisor Catalog (12)

1 5 25 59 295 1,475 1,811 9,055 45,275 106,849 534,245 2,671,225

Collatz Trajectory (143 steps to reach 1)

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

2,671,225 8,013,676 4,006,838 2,003,419 6,010,258 3,005,129 9,015,388 4,507,694 2,253,847 6,761,542 3,380,771 10,142,314 5,071,157 15,213,472 7,606,736 3,803,368 1,901,684 950,842 475,421 1,426,264 713,132 356,566 178,283 534,850 267,425 802,276 401,138 200,569 601,708 300,854 150,427 451,282 225,641 676,924 338,462 169,231 507,694 253,847 761,542 380,771 1,142,314 571,157 1,713,472 856,736 428,368 214,184 107,092 53,546 26,773 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825

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