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Atlas › Integer Profiles › Node 41,009,848

41,009,848

23 × 11 × 17 × 79 × 347
Abundant Even Composite

41,009,848 factors as 2^3 × 11 × 17 × 79 × 347. Its 64 positive divisors give a proper-divisor sum of 49,191,752, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 79 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 90,201,600
Proper Divisor Sum 49,191,752
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #41009827 ← → #41009849

Radix Representation

Decimal 41009848
Binary 10011100011100001010111000 (26 bits)
Octal 0o234341270
Hexadecimal 0x271C2B8

Divisor Catalog (60 of 64)

1 2 4 8 11 17 22 34 44 68 79 88 136 158 187 316 347 374 632 694 748 869 1,343 1,388 1,496 1,738 2,686 2,776 3,476 3,817 5,372 5,899 6,952 7,634 10,744 11,798 14,773 15,268 23,596 27,413 29,546 30,536 47,192 54,826 59,092 64,889 109,652 118,184 129,778 219,304 259,556 301,543 466,021 519,112 603,086 932,042 1,206,172 1,864,084 2,412,344 3,728,168

Collatz Trajectory (222 steps to reach 1)

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

41,009,848 20,504,924 10,252,462 5,126,231 15,378,694 7,689,347 23,068,042 11,534,021 34,602,064 17,301,032 8,650,516 4,325,258 2,162,629 6,487,888 3,243,944 1,621,972 810,986 405,493 1,216,480 608,240 304,120 152,060 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025 822,076 411,038 205,519 616,558 308,279 924,838 462,419 1,387,258 693,629 2,080,888 1,040,444 520,222 260,111

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