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2,051,650

2 × 52 × 37 × 1109
Deficient Even Composite

2,051,650 factors as 2 × 5^2 × 37 × 1109. Its 24 positive divisors give a proper-divisor sum of 1,871,090, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 37 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,922,740
Proper Divisor Sum 1,871,090
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2051641 ← → #2051653

Radix Representation

Decimal 2051650
Binary 111110100111001000010 (21 bits)
Octal 0o7647102
Hexadecimal 0x1F4E42

Divisor Catalog (24)

1 2 5 10 25 37 50 74 185 370 925 1,109 1,850 2,218 5,545 11,090 27,725 41,033 55,450 82,066 205,165 410,330 1,025,825 2,051,650

Collatz Trajectory (104 steps to reach 1)

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

2,051,650 1,025,825 3,077,476 1,538,738 769,369 2,308,108 1,154,054 577,027 1,731,082 865,541 2,596,624 1,298,312 649,156 324,578 162,289 486,868 243,434 121,717 365,152 182,576 91,288 45,644 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170

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