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Atlas › Integer Profiles › Node 41,014,458

41,014,458

2 × 33 × 617 × 1231
Abundant Even Composite

41,014,458 factors as 2 × 3^3 × 617 × 1231. Its 32 positive divisors give a proper-divisor sum of 50,350,662, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 617 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 91,365,120
Proper Divisor Sum 50,350,662
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #41014447 ← → #41014459

Radix Representation

Decimal 41014458
Binary 10011100011101010010111010 (26 bits)
Octal 0o234352272
Hexadecimal 0x271D4BA

Divisor Catalog (32)

1 2 3 6 9 18 27 54 617 1,231 1,234 1,851 2,462 3,693 3,702 5,553 7,386 11,079 11,106 16,659 22,158 33,237 33,318 66,474 759,527 1,519,054 2,278,581 4,557,162 6,835,743 13,671,486 20,507,229 41,014,458

Collatz Trajectory (147 steps to reach 1)

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

41,014,458 20,507,229 61,521,688 30,760,844 15,380,422 7,690,211 23,070,634 11,535,317 34,605,952 17,302,976 8,651,488 4,325,744 2,162,872 1,081,436 540,718 270,359 811,078 405,539 1,216,618 608,309 1,824,928 912,464 456,232 228,116 114,058 57,029 171,088 85,544 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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