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4,176,224

25 × 13 × 10039
Abundant Even Composite

4,176,224 factors as 2^5 × 13 × 10039. Its 24 positive divisors give a proper-divisor sum of 4,679,056, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 10039
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,855,280
Proper Divisor Sum 4,679,056
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4176217 ← → #4176229

Radix Representation

Decimal 4176224
Binary 1111111011100101100000 (22 bits)
Octal 0o17734540
Hexadecimal 0x3FB960

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 10,039 20,078 40,156 80,312 130,507 160,624 261,014 321,248 522,028 1,044,056 2,088,112 4,176,224

Collatz Trajectory (180 steps to reach 1)

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

4,176,224 2,088,112 1,044,056 522,028 261,014 130,507 391,522 195,761 587,284 293,642 146,821 440,464 220,232 110,116 55,058 27,529 82,588 41,294 20,647 61,942 30,971 92,914 46,457 139,372 69,686 34,843 104,530 52,265 156,796 78,398 39,199 117,598 58,799 176,398 88,199 264,598 132,299 396,898 198,449 595,348 297,674 148,837 446,512 223,256 111,628 55,814 27,907 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494

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