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Atlas › Integer Profiles › Node 41,348,484

41,348,484

22 × 32 × 19 × 61 × 991
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 61 × 991
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 111,937,280
Proper Divisor Sum 70,588,796
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41348479 ← → #41348497

Radix Representation

Decimal 41348484
Binary 10011101101110110110000100 (26 bits)
Octal 0o235566604
Hexadecimal 0x276ED84

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 991 1,098 1,159 1,982 2,196 2,318 2,973 3,477 3,964 4,636 5,946 6,954 8,919 10,431 11,892 13,908 17,838 18,829 20,862 35,676 37,658 41,724 56,487 60,451 75,316 112,974 120,902 169,461 181,353 225,948 241,804 338,922 362,706 544,059 677,844

Collatz Trajectory (178 steps to reach 1)

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

41,348,484 20,674,242 10,337,121 31,011,364 15,505,682 7,752,841 23,258,524 11,629,262 5,814,631 17,443,894 8,721,947 26,165,842 13,082,921 39,248,764 19,624,382 9,812,191 29,436,574 14,718,287 44,154,862 22,077,431 66,232,294 33,116,147 99,348,442 49,674,221 149,022,664 74,511,332 37,255,666 18,627,833 55,883,500 27,941,750 13,970,875 41,912,626 20,956,313 62,868,940 31,434,470 15,717,235 47,151,706 23,575,853 70,727,560 35,363,780 17,681,890 8,840,945 26,522,836 13,261,418 6,630,709 19,892,128 9,946,064 4,973,032 2,486,516 1,243,258 621,629 1,864,888 932,444 466,222 233,111 699,334 349,667 1,049,002 524,501 1,573,504

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