40,083,080

2³ × 5 × 1002077

40,083,080 factors as 2^3 × 5 × 1002077. Its 16 positive divisors give a proper-divisor sum of 50,103,940, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 1002077

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 90,187,020

Proper Divisor Sum 50,103,940

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #40083079 ← → #40083097

Radix Representation

Decimal	40083080
Binary	10011000111001111010001000 (26 bits)
Octal	0o230717210
Hexadecimal	0x2639E88

Divisor Catalog (16)

1 2 4 5 8 10 20 40 1,002,077 2,004,154 4,008,308 5,010,385 8,016,616 10,020,770 20,041,540 40,083,080

Collatz Trajectory (116 steps to reach 1)

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

40,083,080 20,041,540 10,020,770 5,010,385 15,031,156 7,515,578 3,757,789 11,273,368 5,636,684 2,818,342 1,409,171 4,227,514 2,113,757 6,341,272 3,170,636 1,585,318 792,659 2,377,978 1,188,989 3,566,968 1,783,484 891,742 445,871 1,337,614 668,807 2,006,422 1,003,211 3,009,634 1,504,817 4,514,452 2,257,226 1,128,613 3,385,840 1,692,920 846,460 423,230 211,615 634,846 317,423 952,270 476,135 1,428,406 714,203 2,142,610 1,071,305 3,213,916 1,606,958 803,479 2,410,438 1,205,219 3,615,658 1,807,829 5,423,488 2,711,744 1,355,872 677,936 338,968 169,484 84,742 42,371

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