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Atlas › Integer Profiles › Node 40,940,644

40,940,644

22 × 23 × 43 × 79 × 131
Deficient Even Composite

40,940,644 factors as 2^2 × 23 × 43 × 79 × 131. Its 48 positive divisors give a proper-divisor sum of 37,118,876, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 43 × 79 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 78,059,520
Proper Divisor Sum 37,118,876
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40940639 ← → #40940651

Radix Representation

Decimal 40940644
Binary 10011100001011010001100100 (26 bits)
Octal 0o234132144
Hexadecimal 0x270B464

Divisor Catalog (48)

1 2 4 23 43 46 79 86 92 131 158 172 262 316 524 989 1,817 1,978 3,013 3,397 3,634 3,956 5,633 6,026 6,794 7,268 10,349 11,266 12,052 13,588 20,698 22,532 41,396 78,131 129,559 156,262 238,027 259,118 312,524 445,007 476,054 518,236 890,014 952,108 1,780,028 10,235,161 20,470,322 40,940,644

Collatz Trajectory (284 steps to reach 1)

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

40,940,644 20,470,322 10,235,161 30,705,484 15,352,742 7,676,371 23,029,114 11,514,557 34,543,672 17,271,836 8,635,918 4,317,959 12,953,878 6,476,939 19,430,818 9,715,409 29,146,228 14,573,114 7,286,557 21,859,672 10,929,836 5,464,918 2,732,459 8,197,378 4,098,689 12,296,068 6,148,034 3,074,017 9,222,052 4,611,026 2,305,513 6,916,540 3,458,270 1,729,135 5,187,406 2,593,703 7,781,110 3,890,555 11,671,666 5,835,833 17,507,500 8,753,750 4,376,875 13,130,626 6,565,313 19,695,940 9,847,970 4,923,985 14,771,956 7,385,978 3,692,989 11,078,968 5,539,484 2,769,742 1,384,871 4,154,614 2,077,307 6,231,922 3,115,961 9,347,884

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