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Atlas › Integer Profiles › Node 40,323,968

40,323,968

27 × 23 × 13697
Abundant Even Composite

40,323,968 factors as 2^7 × 23 × 13697. Its 32 positive divisors give a proper-divisor sum of 43,507,792, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^7 × 23 × 13697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,831,760
Proper Divisor Sum 43,507,792
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #40323919 ← → #40323971

Radix Representation

Decimal 40323968
Binary 10011001110100101110000000 (26 bits)
Octal 0o231645600
Hexadecimal 0x2674B80

Divisor Catalog (32)

1 2 4 8 16 23 32 46 64 92 128 184 368 736 1,472 2,944 13,697 27,394 54,788 109,576 219,152 315,031 438,304 630,062 876,608 1,260,124 1,753,216 2,520,248 5,040,496 10,080,992 20,161,984 40,323,968

Collatz Trajectory (85 steps to reach 1)

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

40,323,968 20,161,984 10,080,992 5,040,496 2,520,248 1,260,124 630,062 315,031 945,094 472,547 1,417,642 708,821 2,126,464 1,063,232 531,616 265,808 132,904 66,452 33,226 16,613 49,840 24,920 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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