40,010

2 × 5 × 4001

40,010 factors as 2 × 5 × 4001. Its 8 positive divisors give a proper-divisor sum of 32,026, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2 × 5 × 4001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 72,036

Proper Divisor Sum 32,026

Digit Sum / Digital Root 5 (Root: 5)

Adjacent Primes #40009 ← → #40013

Radix Representation

Decimal	40010
Binary	1001110001001010 (16 bits)
Octal	0o116112
Hexadecimal	0x9C4A

Divisor Catalog (8)

1 2 5 10 4,001 8,002 20,005 40,010

Collatz Trajectory (67 steps to reach 1)

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

40,010 20,005 60,016 30,008 15,004 7,502 3,751 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256

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