132,312

2³ × 3 × 37 × 149

132,312 has digital root 3. The neighboring primes are 132299 and 132313; its proper-divisor sum differs from the starting integer by 77,376.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 342,000

Proper Divisor Sum 209,688

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #132299 ← → #132313

Radix Representation

Decimal	132312
Binary	100000010011011000 (18 bits)
Octal	0o402330
Hexadecimal	0x204D8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 149 222 296 298 444 447 596 888 894 1,192 1,788 3,576 5,513 11,026 16,539 22,052 33,078 44,104 66,156 132,312

Collatz Trajectory (144 steps to reach 1)

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

132,312 66,156 33,078 16,539 49,618 24,809 74,428 37,214 18,607 55,822 27,911 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036

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