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Atlas › Integer Profiles › Node 41,004,702

41,004,702

2 × 32 × 1069 × 2131
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 1069 × 2131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 88,968,360
Proper Divisor Sum 47,963,658
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #41004683 ← → #41004709

Radix Representation

Decimal 41004702
Binary 10011100011010111010011110 (26 bits)
Octal 0o234327236
Hexadecimal 0x271AE9E

Divisor Catalog (24)

1 2 3 6 9 18 1,069 2,131 2,138 3,207 4,262 6,393 6,414 9,621 12,786 19,179 19,242 38,358 2,278,039 4,556,078 6,834,117 13,668,234 20,502,351 41,004,702

Collatz Trajectory (359 steps to reach 1)

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

41,004,702 20,502,351 61,507,054 30,753,527 92,260,582 46,130,291 138,390,874 69,195,437 207,586,312 103,793,156 51,896,578 25,948,289 77,844,868 38,922,434 19,461,217 58,383,652 29,191,826 14,595,913 43,787,740 21,893,870 10,946,935 32,840,806 16,420,403 49,261,210 24,630,605 73,891,816 36,945,908 18,472,954 9,236,477 27,709,432 13,854,716 6,927,358 3,463,679 10,391,038 5,195,519 15,586,558 7,793,279 23,379,838 11,689,919 35,069,758 17,534,879 52,604,638 26,302,319 78,906,958 39,453,479 118,360,438 59,180,219 177,540,658 88,770,329 266,310,988 133,155,494 66,577,747 199,733,242 99,866,621 299,599,864 149,799,932 74,899,966 37,449,983 112,349,950 56,174,975

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