7,956,052

2² × 13 × 153001

7,956,052 factors as 2^2 × 13 × 153001. Its 12 positive divisors give a proper-divisor sum of 7,038,144, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 153001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,994,196

Proper Divisor Sum 7,038,144

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7956043 ← → #7956061

Radix Representation

Decimal	7956052
Binary	11110010110011001010100 (23 bits)
Octal	0o36263124
Hexadecimal	0x796654

Divisor Catalog (12)

1 2 4 13 26 52 153,001 306,002 612,004 1,989,013 3,978,026 7,956,052

Collatz Trajectory (67 steps to reach 1)

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

7,956,052 3,978,026 1,989,013 5,967,040 2,983,520 1,491,760 745,880 372,940 186,470 93,235 279,706 139,853 419,560 209,780 104,890 52,445 157,336 78,668 39,334 19,667 59,002 29,501 88,504 44,252 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40

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