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Atlas › Integer Profiles › Node 41,616,004

41,616,004

22 × 19 × 59 × 9281
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19 × 59 × 9281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,968,800
Proper Divisor Sum 36,352,796
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #41615929 ← → #41616031

Radix Representation

Decimal 41616004
Binary 10011110110000001010000100 (26 bits)
Octal 0o236601204
Hexadecimal 0x27B0284

Divisor Catalog (24)

1 2 4 19 38 59 76 118 236 1,121 2,242 4,484 9,281 18,562 37,124 176,339 352,678 547,579 705,356 1,095,158 2,190,316 10,404,001 20,808,002 41,616,004

Collatz Trajectory (209 steps to reach 1)

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

41,616,004 20,808,002 10,404,001 31,212,004 15,606,002 7,803,001 23,409,004 11,704,502 5,852,251 17,556,754 8,778,377 26,335,132 13,167,566 6,583,783 19,751,350 9,875,675 29,627,026 14,813,513 44,440,540 22,220,270 11,110,135 33,330,406 16,665,203 49,995,610 24,997,805 74,993,416 37,496,708 18,748,354 9,374,177 28,122,532 14,061,266 7,030,633 21,091,900 10,545,950 5,272,975 15,818,926 7,909,463 23,728,390 11,864,195 35,592,586 17,796,293 53,388,880 26,694,440 13,347,220 6,673,610 3,336,805 10,010,416 5,005,208 2,502,604 1,251,302 625,651 1,876,954 938,477 2,815,432 1,407,716 703,858 351,929 1,055,788 527,894 263,947

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