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6,078,656

26 × 17 × 37 × 151
Abundant Even Composite

6,078,656 factors as 2^6 × 17 × 37 × 151. Its 56 positive divisors give a proper-divisor sum of 7,125,280, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 37 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,203,936
Proper Divisor Sum 7,125,280
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6078649 ← → #6078659

Radix Representation

Decimal 6078656
Binary 10111001100000011000000 (23 bits)
Octal 0o27140300
Hexadecimal 0x5CC0C0

Divisor Catalog (56)

1 2 4 8 16 17 32 34 37 64 68 74 136 148 151 272 296 302 544 592 604 629 1,088 1,184 1,208 1,258 2,368 2,416 2,516 2,567 4,832 5,032 5,134 5,587 9,664 10,064 10,268 11,174 20,128 20,536 22,348 40,256 41,072 44,696 82,144 89,392 94,979 164,288 178,784 189,958 357,568 379,916 759,832 1,519,664 3,039,328 6,078,656

Collatz Trajectory (108 steps to reach 1)

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

6,078,656 3,039,328 1,519,664 759,832 379,916 189,958 94,979 284,938 142,469 427,408 213,704 106,852 53,426 26,713 80,140 40,070 20,035 60,106 30,053 90,160 45,080 22,540 11,270 5,635 16,906 8,453 25,360 12,680 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079

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