7,956,728

2³ × 13 × 76507

7,956,728 factors as 2^3 × 13 × 76507. Its 16 positive divisors give a proper-divisor sum of 8,109,952, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 76507

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,066,680

Proper Divisor Sum 8,109,952

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7956727 ← → #7956737

Radix Representation

Decimal	7956728
Binary	11110010110100011111000 (23 bits)
Octal	0o36264370
Hexadecimal	0x7968F8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 76,507 153,014 306,028 612,056 994,591 1,989,182 3,978,364 7,956,728

Collatz Trajectory (142 steps to reach 1)

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

7,956,728 3,978,364 1,989,182 994,591 2,983,774 1,491,887 4,475,662 2,237,831 6,713,494 3,356,747 10,070,242 5,035,121 15,105,364 7,552,682 3,776,341 11,329,024 5,664,512 2,832,256 1,416,128 708,064 354,032 177,016 88,508 44,254 22,127 66,382 33,191 99,574 49,787 149,362 74,681 224,044 112,022 56,011 168,034 84,017 252,052 126,026 63,013 189,040 94,520 47,260 23,630 11,815 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402

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