755,006

2 × 7 × 199 × 271

755,006 has digital root 5. The neighboring primes are 754993 and 755009; its proper-divisor sum differs from the starting integer by -204,412.

Prime Factor Structure

Factorization String 2 × 7 × 199 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,305,600

Proper Divisor Sum 550,594

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #754993 ← → #755009

Radix Representation

Decimal	755006
Binary	10111000010100111110 (20 bits)
Octal	0o2702476
Hexadecimal	0xB853E

Divisor Catalog (16)

1 2 7 14 199 271 398 542 1,393 1,897 2,786 3,794 53,929 107,858 377,503 755,006

Collatz Trajectory (211 steps to reach 1)

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

755,006 377,503 1,132,510 566,255 1,698,766 849,383 2,548,150 1,274,075 3,822,226 1,911,113 5,733,340 2,866,670 1,433,335 4,300,006 2,150,003 6,450,010 3,225,005 9,675,016 4,837,508 2,418,754 1,209,377 3,628,132 1,814,066 907,033 2,721,100 1,360,550 680,275 2,040,826 1,020,413 3,061,240 1,530,620 765,310 382,655 1,147,966 573,983 1,721,950 860,975 2,582,926 1,291,463 3,874,390 1,937,195 5,811,586 2,905,793 8,717,380 4,358,690 2,179,345 6,538,036 3,269,018 1,634,509 4,903,528 2,451,764 1,225,882 612,941 1,838,824 919,412 459,706 229,853 689,560 344,780 172,390

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