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Atlas › Integer Profiles › Node 41,348,615

41,348,615

5 × 7 × 11 × 211 × 509
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 211 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,277,120
Proper Divisor Sum 20,928,505
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #41348603 ← → #41348627

Radix Representation

Decimal 41348615
Binary 10011101101110111000000111 (26 bits)
Octal 0o235567007
Hexadecimal 0x276EE07

Divisor Catalog (32)

1 5 7 11 35 55 77 211 385 509 1,055 1,477 2,321 2,545 3,563 5,599 7,385 11,605 16,247 17,815 27,995 39,193 81,235 107,399 195,965 536,995 751,793 1,181,389 3,758,965 5,906,945 8,269,723 41,348,615

Collatz Trajectory (160 steps to reach 1)

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

41,348,615 124,045,846 62,022,923 186,068,770 93,034,385 279,103,156 139,551,578 69,775,789 209,327,368 104,663,684 52,331,842 26,165,921 78,497,764 39,248,882 19,624,441 58,873,324 29,436,662 14,718,331 44,154,994 22,077,497 66,232,492 33,116,246 16,558,123 49,674,370 24,837,185 74,511,556 37,255,778 18,627,889 55,883,668 27,941,834 13,970,917 41,912,752 20,956,376 10,478,188 5,239,094 2,619,547 7,858,642 3,929,321 11,787,964 5,893,982 2,946,991 8,840,974 4,420,487 13,261,462 6,630,731 19,892,194 9,946,097 29,838,292 14,919,146 7,459,573 22,378,720 11,189,360 5,594,680 2,797,340 1,398,670 699,335 2,098,006 1,049,003 3,147,010 1,573,505

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