311,802

2 × 3 × 157 × 331

311,802 factors as 2 × 3 × 157 × 331. Its 16 positive divisors give a proper-divisor sum of 317,670, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2 × 3 × 157 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 629,472

Proper Divisor Sum 317,670

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #311791 ← → #311803

Radix Representation

Decimal	311802
Binary	1001100000111111010 (19 bits)
Octal	0o1140772
Hexadecimal	0x4C1FA

Divisor Catalog (16)

1 2 3 6 157 314 331 471 662 942 993 1,986 51,967 103,934 155,901 311,802

Collatz Trajectory (171 steps to reach 1)

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

311,802 155,901 467,704 233,852 116,926 58,463 175,390 87,695 263,086 131,543 394,630 197,315 591,946 295,973 887,920 443,960 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596 187,298 93,649 280,948 140,474 70,237 210,712 105,356 52,678 26,339 79,018 39,509 118,528 59,264 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984

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