λ
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Atlas › Integer Profiles › Node 41,865,135

41,865,135

3 × 5 × 13 × 17 × 73 × 173
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17 × 73 × 173
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 77,874,048
Proper Divisor Sum 36,008,913
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #41865121 ← → #41865139

Radix Representation

Decimal 41865135
Binary 10011111101100111110101111 (26 bits)
Octal 0o237547657
Hexadecimal 0x27ECFAF

Divisor Catalog (60 of 64)

1 3 5 13 15 17 39 51 65 73 85 173 195 219 221 255 365 519 663 865 949 1,095 1,105 1,241 2,249 2,595 2,847 2,941 3,315 3,723 4,745 6,205 6,747 8,823 11,245 12,629 14,235 14,705 16,133 18,615 33,735 37,887 38,233 44,115 48,399 63,145 80,665 114,699 164,177 189,435 191,165 214,693 241,995 492,531 573,495 644,079 820,885 1,073,465 2,462,655 2,791,009

Collatz Trajectory (191 steps to reach 1)

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

41,865,135 125,595,406 62,797,703 188,393,110 94,196,555 282,589,666 141,294,833 423,884,500 211,942,250 105,971,125 317,913,376 158,956,688 79,478,344 39,739,172 19,869,586 9,934,793 29,804,380 14,902,190 7,451,095 22,353,286 11,176,643 33,529,930 16,764,965 50,294,896 25,147,448 12,573,724 6,286,862 3,143,431 9,430,294 4,715,147 14,145,442 7,072,721 21,218,164 10,609,082 5,304,541 15,913,624 7,956,812 3,978,406 1,989,203 5,967,610 2,983,805 8,951,416 4,475,708 2,237,854 1,118,927 3,356,782 1,678,391 5,035,174 2,517,587 7,552,762 3,776,381 11,329,144 5,664,572 2,832,286 1,416,143 4,248,430 2,124,215 6,372,646 3,186,323 9,558,970

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