1,792,467

3² × 277 × 719

1,792,467 factors as 3^2 × 277 × 719. Its 12 positive divisors give a proper-divisor sum of 809,613, so this integer is deficient. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 3^2 × 277 × 719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,602,080

Proper Divisor Sum 809,613

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1792433 ← → #1792477

Radix Representation

Decimal	1792467
Binary	110110101100111010011 (21 bits)
Octal	0o6654723
Hexadecimal	0x1B59D3

Divisor Catalog (12)

1 3 9 277 719 831 2,157 2,493 6,471 199,163 597,489 1,792,467

Collatz Trajectory (233 steps to reach 1)

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

1,792,467 5,377,402 2,688,701 8,066,104 4,033,052 2,016,526 1,008,263 3,024,790 1,512,395 4,537,186 2,268,593 6,805,780 3,402,890 1,701,445 5,104,336 2,552,168 1,276,084 638,042 319,021 957,064 478,532 239,266 119,633 358,900 179,450 89,725 269,176 134,588 67,294 33,647 100,942 50,471 151,414 75,707 227,122 113,561 340,684 170,342 85,171 255,514 127,757 383,272 191,636 95,818 47,909 143,728 71,864 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895

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