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Atlas › Integer Profiles › Node 40,508,325

40,508,325

32 × 52 × 11 × 13 × 1259
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 13 × 1259
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 85,307,040
Proper Divisor Sum 44,798,715
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40508309 ← → #40508329

Radix Representation

Decimal 40508325
Binary 10011010100001101110100101 (26 bits)
Octal 0o232415645
Hexadecimal 0x26A1BA5

Divisor Catalog (60 of 72)

1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 429 495 585 715 825 975 1,259 1,287 2,145 2,475 2,925 3,575 3,777 6,295 6,435 10,725 11,331 13,849 16,367 18,885 31,475 32,175 41,547 49,101 56,655 69,245 81,835 94,425 124,641 147,303 180,037 207,735 245,505 283,275 346,225 409,175 540,111 623,205

Collatz Trajectory (116 steps to reach 1)

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

40,508,325 121,524,976 60,762,488 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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