7,967,942

2 × 61 × 241 × 271

7,967,942 factors as 2 × 61 × 241 × 271. Its 16 positive divisors give a proper-divisor sum of 4,275,322, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 61 × 241 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,243,264

Proper Divisor Sum 4,275,322

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7967941 ← → #7967963

Radix Representation

Decimal	7967942
Binary	11110011001010011000110 (23 bits)
Octal	0o36312306
Hexadecimal	0x7994C6

Divisor Catalog (16)

1 2 61 122 241 271 482 542 14,701 16,531 29,402 33,062 65,311 130,622 3,983,971 7,967,942

Collatz Trajectory (124 steps to reach 1)

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

7,967,942 3,983,971 11,951,914 5,975,957 17,927,872 8,963,936 4,481,968 2,240,984 1,120,492 560,246 280,123 840,370 420,185 1,260,556 630,278 315,139 945,418 472,709 1,418,128 709,064 354,532 177,266 88,633 265,900 132,950 66,475 199,426 99,713 299,140 149,570 74,785 224,356 112,178 56,089 168,268 84,134 42,067 126,202 63,101 189,304 94,652 47,326 23,663 70,990 35,495 106,486 53,243 159,730 79,865 239,596 119,798 59,899 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244

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