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Atlas › Integer Profiles › Node 41,340,856

41,340,856

23 × 31 × 89 × 1873
Deficient Even Composite

41,340,856 factors as 2^3 × 31 × 89 × 1873. Its 32 positive divisors give a proper-divisor sum of 39,615,944, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 89 × 1873
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,956,800
Proper Divisor Sum 39,615,944
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #41340847 ← → #41340869

Radix Representation

Decimal 41340856
Binary 10011101101100111110111000 (26 bits)
Octal 0o235547670
Hexadecimal 0x276CFB8

Divisor Catalog (32)

1 2 4 8 31 62 89 124 178 248 356 712 1,873 2,759 3,746 5,518 7,492 11,036 14,984 22,072 58,063 116,126 166,697 232,252 333,394 464,504 666,788 1,333,576 5,167,607 10,335,214 20,670,428 41,340,856

Collatz Trajectory (116 steps to reach 1)

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

41,340,856 20,670,428 10,335,214 5,167,607 15,502,822 7,751,411 23,254,234 11,627,117 34,881,352 17,440,676 8,720,338 4,360,169 13,080,508 6,540,254 3,270,127 9,810,382 4,905,191 14,715,574 7,357,787 22,073,362 11,036,681 33,110,044 16,555,022 8,277,511 24,832,534 12,416,267 37,248,802 18,624,401 55,873,204 27,936,602 13,968,301 41,904,904 20,952,452 10,476,226 5,238,113 15,714,340 7,857,170 3,928,585 11,785,756 5,892,878 2,946,439 8,839,318 4,419,659 13,258,978 6,629,489 19,888,468 9,944,234 4,972,117 14,916,352 7,458,176 3,729,088 1,864,544 932,272 466,136 233,068 116,534 58,267 174,802 87,401 262,204

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