311,568

2⁴ × 3 × 6491

311,568 factors as 2^4 × 3 × 6491. Its 20 positive divisors give a proper-divisor sum of 493,440, so this integer is abundant. The Collatz stopping time is 52 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 6491

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 805,008

Proper Divisor Sum 493,440

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #311567 ← → #311569

Radix Representation

Decimal	311568
Binary	1001100000100010000 (19 bits)
Octal	0o1140420
Hexadecimal	0x4C110

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 6,491 12,982 19,473 25,964 38,946 51,928 77,892 103,856 155,784 311,568

Collatz Trajectory (52 steps to reach 1)

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

311,568 155,784 77,892 38,946 19,473 58,420 29,210 14,605 43,816 21,908 10,954 5,477 16,432 8,216 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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