40,866

2 × 3 × 7² × 139

40,866 factors as 2 × 3 × 7^2 × 139. Its 24 positive divisors give a proper-divisor sum of 54,894, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 95,760

Proper Divisor Sum 54,894

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #40853 ← → #40867

Radix Representation

Decimal	40866
Binary	1001111110100010 (16 bits)
Octal	0o117642
Hexadecimal	0x9FA2

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 139 147 278 294 417 834 973 1,946 2,919 5,838 6,811 13,622 20,433 40,866

Collatz Trajectory (181 steps to reach 1)

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

40,866 20,433 61,300 30,650 15,325 45,976 22,988 11,494 5,747 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310

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