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40,293,232

24 × 7 × 359761
Abundant Even Composite

40,293,232 factors as 2^4 × 7 × 359761. Its 20 positive divisors give a proper-divisor sum of 48,927,744, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 359761
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 89,220,976
Proper Divisor Sum 48,927,744
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #40293229 ← → #40293277

Radix Representation

Decimal 40293232
Binary 10011001101101001101110000 (26 bits)
Octal 0o231551560
Hexadecimal 0x266D370

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 359,761 719,522 1,439,044 2,518,327 2,878,088 5,036,654 5,756,176 10,073,308 20,146,616 40,293,232

Collatz Trajectory (59 steps to reach 1)

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

40,293,232 20,146,616 10,073,308 5,036,654 2,518,327 7,554,982 3,777,491 11,332,474 5,666,237 16,998,712 8,499,356 4,249,678 2,124,839 6,374,518 3,187,259 9,561,778 4,780,889 14,342,668 7,171,334 3,585,667 10,757,002 5,378,501 16,135,504 8,067,752 4,033,876 2,016,938 1,008,469 3,025,408 1,512,704 756,352 378,176 189,088 94,544 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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