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4,459,712

26 × 17 × 4099
Abundant Even Composite

4,459,712 factors as 2^6 × 17 × 4099. Its 28 positive divisors give a proper-divisor sum of 4,912,888, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 4099
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 9,372,600
Proper Divisor Sum 4,912,888
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4459711 ← → #4459717

Radix Representation

Decimal 4459712
Binary 10001000000110011000000 (23 bits)
Octal 0o21006300
Hexadecimal 0x440CC0

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 4,099 8,198 16,396 32,792 65,584 69,683 131,168 139,366 262,336 278,732 557,464 1,114,928 2,229,856 4,459,712

Collatz Trajectory (61 steps to reach 1)

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

4,459,712 2,229,856 1,114,928 557,464 278,732 139,366 69,683 209,050 104,525 313,576 156,788 78,394 39,197 117,592 58,796 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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