475,783

7 × 11 × 37 × 167

475,783 factors as 7 × 11 × 37 × 167. Its 16 positive divisors give a proper-divisor sum of 137,081, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 7 × 11 × 37 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 612,864

Proper Divisor Sum 137,081

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #475777 ← → #475789

Radix Representation

Decimal	475783
Binary	1110100001010000111 (19 bits)
Octal	0o1641207
Hexadecimal	0x74287

Divisor Catalog (16)

1 7 11 37 77 167 259 407 1,169 1,837 2,849 6,179 12,859 43,253 67,969 475,783

Collatz Trajectory (169 steps to reach 1)

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

475,783 1,427,350 713,675 2,141,026 1,070,513 3,211,540 1,605,770 802,885 2,408,656 1,204,328 602,164 301,082 150,541 451,624 225,812 112,906 56,453 169,360 84,680 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506

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