783,003

3 × 13 × 17 × 1181

783,003 factors as 3 × 13 × 17 × 1181. Its 16 positive divisors give a proper-divisor sum of 408,453, so this integer is deficient. The Collatz stopping time is 299 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 1181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,191,456

Proper Divisor Sum 408,453

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #782993 ← → #783007

Radix Representation

Decimal	783003
Binary	10111111001010011011 (20 bits)
Octal	0o2771233
Hexadecimal	0xBF29B

Divisor Catalog (16)

1 3 13 17 39 51 221 663 1,181 3,543 15,353 20,077 46,059 60,231 261,001 783,003

Collatz Trajectory (299 steps to reach 1)

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

783,003 2,349,010 1,174,505 3,523,516 1,761,758 880,879 2,642,638 1,321,319 3,963,958 1,981,979 5,945,938 2,972,969 8,918,908 4,459,454 2,229,727 6,689,182 3,344,591 10,033,774 5,016,887 15,050,662 7,525,331 22,575,994 11,287,997 33,863,992 16,931,996 8,465,998 4,232,999 12,698,998 6,349,499 19,048,498 9,524,249 28,572,748 14,286,374 7,143,187 21,429,562 10,714,781 32,144,344 16,072,172 8,036,086 4,018,043 12,054,130 6,027,065 18,081,196 9,040,598 4,520,299 13,560,898 6,780,449 20,341,348 10,170,674 5,085,337 15,256,012 7,628,006 3,814,003 11,442,010 5,721,005 17,163,016 8,581,508 4,290,754 2,145,377 6,436,132

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