317,800

2³ × 5² × 7 × 227

317,800 has digital root 1. The neighboring primes are 317797 and 317827; its proper-divisor sum differs from the starting integer by 212,560.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 848,160

Proper Divisor Sum 530,360

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #317797 ← → #317827

Radix Representation

Decimal	317800
Binary	1001101100101101000 (19 bits)
Octal	0o1154550
Hexadecimal	0x4D968

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 227 280 350 454 700 908 1,135 1,400 1,589 1,816 2,270 3,178 4,540 5,675 6,356 7,945 9,080 11,350 12,712 15,890 22,700 31,780 39,725 45,400 63,560 79,450 158,900 317,800

Collatz Trajectory (122 steps to reach 1)

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

317,800 158,900 79,450 39,725 119,176 59,588 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020

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