40,662

2 × 3⁴ × 251

40,662 has digital root 9. The neighboring primes are 40639 and 40693; its proper-divisor sum differs from the starting integer by 10,152.

Prime Factor Structure

Factorization String 2 × 3^4 × 251

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 91,476

Proper Divisor Sum 50,814

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #40639 ← → #40693

Radix Representation

Decimal	40662
Binary	1001111011010110 (16 bits)
Octal	0o117326
Hexadecimal	0x9ED6

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 251 502 753 1,506 2,259 4,518 6,777 13,554 20,331 40,662

Collatz Trajectory (75 steps to reach 1)

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

40,662 20,331 60,994 30,497 91,492 45,746 22,873 68,620 34,310 17,155 51,466 25,733 77,200 38,600 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44

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