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4,210,004

22 × 59 × 17839
Deficient Even Composite

4,210,004 factors as 2^2 × 59 × 17839. Its 12 positive divisors give a proper-divisor sum of 3,282,796, so this integer is deficient. The Collatz stopping time is 48 steps.

Prime Factor Structure

Factorization String 2^2 × 59 × 17839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,492,800
Proper Divisor Sum 3,282,796
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #4209991 ← → #4210013

Radix Representation

Decimal 4210004
Binary 10000000011110101010100 (23 bits)
Octal 0o20036524
Hexadecimal 0x403D54

Divisor Catalog (12)

1 2 4 59 118 236 17,839 35,678 71,356 1,052,501 2,105,002 4,210,004

Collatz Trajectory (48 steps to reach 1)

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

4,210,004 2,105,002 1,052,501 3,157,504 1,578,752 789,376 394,688 197,344 98,672 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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