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Atlas › Integer Profiles › Node 41,999,804

41,999,804

22 × 7 × 11 × 19 × 7177
Abundant Even Composite

41,999,804 factors as 2^2 × 7 × 11 × 19 × 7177. Its 48 positive divisors give a proper-divisor sum of 54,472,516, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 19 × 7177
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,472,320
Proper Divisor Sum 54,472,516
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #41999803 ← → #41999813

Radix Representation

Decimal 41999804
Binary 10100000001101110110111100 (26 bits)
Octal 0o240156674
Hexadecimal 0x280DDBC

Divisor Catalog (48)

1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1,463 2,926 5,852 7,177 14,354 28,708 50,239 78,947 100,478 136,363 157,894 200,956 272,726 315,788 545,452 552,629 954,541 1,105,258 1,499,993 1,909,082 2,210,516 2,999,986 3,818,164 5,999,972 10,499,951 20,999,902 41,999,804

Collatz Trajectory (253 steps to reach 1)

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

41,999,804 20,999,902 10,499,951 31,499,854 15,749,927 47,249,782 23,624,891 70,874,674 35,437,337 106,312,012 53,156,006 26,578,003 79,734,010 39,867,005 119,601,016 59,800,508 29,900,254 14,950,127 44,850,382 22,425,191 67,275,574 33,637,787 100,913,362 50,456,681 151,370,044 75,685,022 37,842,511 113,527,534 56,763,767 170,291,302 85,145,651 255,436,954 127,718,477 383,155,432 191,577,716 95,788,858 47,894,429 143,683,288 71,841,644 35,920,822 17,960,411 53,881,234 26,940,617 80,821,852 40,410,926 20,205,463 60,616,390 30,308,195 90,924,586 45,462,293 136,386,880 68,193,440 34,096,720 17,048,360 8,524,180 4,262,090 2,131,045 6,393,136 3,196,568 1,598,284

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