4,192,076

2² × 7 × 149717

4,192,076 factors as 2^2 × 7 × 149717. Its 12 positive divisors give a proper-divisor sum of 4,192,132, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 149717

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,384,208

Proper Divisor Sum 4,192,132

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4192073 ← → #4192087

Radix Representation

Decimal	4192076
Binary	1111111111011101001100 (22 bits)
Octal	0o17773514
Hexadecimal	0x3FF74C

Divisor Catalog (12)

1 2 4 7 14 28 149,717 299,434 598,868 1,048,019 2,096,038 4,192,076

Collatz Trajectory (136 steps to reach 1)

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

4,192,076 2,096,038 1,048,019 3,144,058 1,572,029 4,716,088 2,358,044 1,179,022 589,511 1,768,534 884,267 2,652,802 1,326,401 3,979,204 1,989,602 994,801 2,984,404 1,492,202 746,101 2,238,304 1,119,152 559,576 279,788 139,894 69,947 209,842 104,921 314,764 157,382 78,691 236,074 118,037 354,112 177,056 88,528 44,264 22,132 11,066 5,533 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608

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