313,722

2 × 3² × 29 × 601

313,722 has digital root 9. The neighboring primes are 313721 and 313727; its proper-divisor sum differs from the starting integer by 76,896.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 704,340

Proper Divisor Sum 390,618

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #313721 ← → #313727

Radix Representation

Decimal	313722
Binary	1001100100101111010 (19 bits)
Octal	0o1144572
Hexadecimal	0x4C97A

Divisor Catalog (24)

1 2 3 6 9 18 29 58 87 174 261 522 601 1,202 1,803 3,606 5,409 10,818 17,429 34,858 52,287 104,574 156,861 313,722

Collatz Trajectory (127 steps to reach 1)

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

313,722 156,861 470,584 235,292 117,646 58,823 176,470 88,235 264,706 132,353 397,060 198,530 99,265 297,796 148,898 74,449 223,348 111,674 55,837 167,512 83,756 41,878 20,939 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334

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