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Atlas › Integer Profiles › Node 40,508,324

40,508,324

22 × 53 × 109 × 1753
Deficient Even Composite

40,508,324 factors as 2^2 × 53 × 109 × 1753. Its 24 positive divisors give a proper-divisor sum of 32,422,996, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 109 × 1753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 72,931,320
Proper Divisor Sum 32,422,996
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #40508309 ← → #40508329

Radix Representation

Decimal 40508324
Binary 10011010100001101110100100 (26 bits)
Octal 0o232415644
Hexadecimal 0x26A1BA4

Divisor Catalog (24)

1 2 4 53 106 109 212 218 436 1,753 3,506 5,777 7,012 11,554 23,108 92,909 185,818 191,077 371,636 382,154 764,308 10,127,081 20,254,162 40,508,324

Collatz Trajectory (116 steps to reach 1)

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

40,508,324 20,254,162 10,127,081 30,381,244 15,190,622 7,595,311 22,785,934 11,392,967 34,178,902 17,089,451 51,268,354 25,634,177 76,902,532 38,451,266 19,225,633 57,676,900 28,838,450 14,419,225 43,257,676 21,628,838 10,814,419 32,443,258 16,221,629 48,664,888 24,332,444 12,166,222 6,083,111 18,249,334 9,124,667 27,374,002 13,687,001 41,061,004 20,530,502 10,265,251 30,795,754 15,397,877 46,193,632 23,096,816 11,548,408 5,774,204 2,887,102 1,443,551 4,330,654 2,165,327 6,495,982 3,247,991 9,743,974 4,871,987 14,615,962 7,307,981 21,923,944 10,961,972 5,480,986 2,740,493 8,221,480 4,110,740 2,055,370 1,027,685 3,083,056 1,541,528

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