311,725

5² × 37 × 337

311,725 has digital root 1. The neighboring primes are 311713 and 311737; its proper-divisor sum differs from the starting integer by -225,286.

Prime Factor Structure

Factorization String 5^2 × 37 × 337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 398,164

Proper Divisor Sum 86,439

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #311713 ← → #311737

Radix Representation

Decimal	311725
Binary	1001100000110101101 (19 bits)
Octal	0o1140655
Hexadecimal	0x4C1AD

Divisor Catalog (12)

1 5 25 37 185 337 925 1,685 8,425 12,469 62,345 311,725

Collatz Trajectory (171 steps to reach 1)

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

311,725 935,176 467,588 233,794 116,897 350,692 175,346 87,673 263,020 131,510 65,755 197,266 98,633 295,900 147,950 73,975 221,926 110,963 332,890 166,445 499,336 249,668 124,834 62,417 187,252 93,626 46,813 140,440 70,220 35,110 17,555 52,666 26,333 79,000 39,500 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55

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