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6,239,728

24 × 113 × 293
Abundant Even Composite

6,239,728 factors as 2^4 × 11^3 × 293. Its 40 positive divisors give a proper-divisor sum of 7,103,168, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 11^3 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,342,896
Proper Divisor Sum 7,103,168
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6239707 ← → #6239759

Radix Representation

Decimal 6239728
Binary 10111110011010111110000 (23 bits)
Octal 0o27632760
Hexadecimal 0x5F35F0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 121 176 242 293 484 586 968 1,172 1,331 1,936 2,344 2,662 3,223 4,688 5,324 6,446 10,648 12,892 21,296 25,784 35,453 51,568 70,906 141,812 283,624 389,983 567,248 779,966 1,559,932 3,119,864 6,239,728

Collatz Trajectory (77 steps to reach 1)

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

6,239,728 3,119,864 1,559,932 779,966 389,983 1,169,950 584,975 1,754,926 877,463 2,632,390 1,316,195 3,948,586 1,974,293 5,922,880 2,961,440 1,480,720 740,360 370,180 185,090 92,545 277,636 138,818 69,409 208,228 104,114 52,057 156,172 78,086 39,043 117,130 58,565 175,696 87,848 43,924 21,962 10,981 32,944 16,472 8,236 4,118 2,059 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184

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