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Atlas › Integer Profiles › Node 41,540,967

41,540,967

32 × 13 × 23 × 43 × 359
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 23 × 43 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 69,189,120
Proper Divisor Sum 27,648,153
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41540959 ← → #41540969

Radix Representation

Decimal 41540967
Binary 10011110011101110101100111 (26 bits)
Octal 0o236356547
Hexadecimal 0x279DD67

Divisor Catalog (48)

1 3 9 13 23 39 43 69 117 129 207 299 359 387 559 897 989 1,077 1,677 2,691 2,967 3,231 4,667 5,031 8,257 8,901 12,857 14,001 15,437 24,771 38,571 42,003 46,311 74,313 107,341 115,713 138,933 200,681 322,023 355,051 602,043 966,069 1,065,153 1,806,129 3,195,459 4,615,663 13,846,989 41,540,967

Collatz Trajectory (253 steps to reach 1)

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

41,540,967 124,622,902 62,311,451 186,934,354 93,467,177 280,401,532 140,200,766 70,100,383 210,301,150 105,150,575 315,451,726 157,725,863 473,177,590 236,588,795 709,766,386 354,883,193 1,064,649,580 532,324,790 266,162,395 798,487,186 399,243,593 1,197,730,780 598,865,390 299,432,695 898,298,086 449,149,043 1,347,447,130 673,723,565 2,021,170,696 1,010,585,348 505,292,674 252,646,337 757,939,012 378,969,506 189,484,753 568,454,260 284,227,130 142,113,565 426,340,696 213,170,348 106,585,174 53,292,587 159,877,762 79,938,881 239,816,644 119,908,322 59,954,161 179,862,484 89,931,242 44,965,621 134,896,864 67,448,432 33,724,216 16,862,108 8,431,054 4,215,527 12,646,582 6,323,291 18,969,874 9,484,937

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