λ
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Atlas › Integer Profiles › Node 41,009,745

41,009,745

3 × 5 × 7 × 31 × 43 × 293
Deficient Odd Composite

41,009,745 factors as 3 × 5 × 7 × 31 × 43 × 293. Its 64 positive divisors give a proper-divisor sum of 38,469,039, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 31 × 43 × 293
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 79,478,784
Proper Divisor Sum 38,469,039
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #41009743 ← → #41009753

Radix Representation

Decimal 41009745
Binary 10011100011100001001010001 (26 bits)
Octal 0o234341121
Hexadecimal 0x271C251

Divisor Catalog (60 of 64)

1 3 5 7 15 21 31 35 43 93 105 129 155 215 217 293 301 465 645 651 879 903 1,085 1,333 1,465 1,505 2,051 3,255 3,999 4,395 4,515 6,153 6,665 9,083 9,331 10,255 12,599 19,995 27,249 27,993 30,765 37,797 45,415 46,655 62,995 63,581 88,193 136,245 139,965 188,985 190,743 264,579 317,905 390,569 440,965 953,715 1,171,707 1,322,895 1,952,845 2,733,983

Collatz Trajectory (266 steps to reach 1)

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

41,009,745 123,029,236 61,514,618 30,757,309 92,271,928 46,135,964 23,067,982 11,533,991 34,601,974 17,300,987 51,902,962 25,951,481 77,854,444 38,927,222 19,463,611 58,390,834 29,195,417 87,586,252 43,793,126 21,896,563 65,689,690 32,844,845 98,534,536 49,267,268 24,633,634 12,316,817 36,950,452 18,475,226 9,237,613 27,712,840 13,856,420 6,928,210 3,464,105 10,392,316 5,196,158 2,598,079 7,794,238 3,897,119 11,691,358 5,845,679 17,537,038 8,768,519 26,305,558 13,152,779 39,458,338 19,729,169 59,187,508 29,593,754 14,796,877 44,390,632 22,195,316 11,097,658 5,548,829 16,646,488 8,323,244 4,161,622 2,080,811 6,242,434 3,121,217 9,363,652

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