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Atlas › Integer Profiles › Node 40,484,148

40,484,148

22 × 3 × 59 × 211 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 211 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,875,520
Proper Divisor Sum 56,391,372
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #40484111 ← → #40484149

Radix Representation

Decimal 40484148
Binary 10011010011011110100110100 (26 bits)
Octal 0o232336464
Hexadecimal 0x269BD34

Divisor Catalog (48)

1 2 3 4 6 12 59 118 177 211 236 271 354 422 542 633 708 813 844 1,084 1,266 1,626 2,532 3,252 12,449 15,989 24,898 31,978 37,347 47,967 49,796 57,181 63,956 74,694 95,934 114,362 149,388 171,543 191,868 228,724 343,086 686,172 3,373,679 6,747,358 10,121,037 13,494,716 20,242,074 40,484,148

Collatz Trajectory (253 steps to reach 1)

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

40,484,148 20,242,074 10,121,037 30,363,112 15,181,556 7,590,778 3,795,389 11,386,168 5,693,084 2,846,542 1,423,271 4,269,814 2,134,907 6,404,722 3,202,361 9,607,084 4,803,542 2,401,771 7,205,314 3,602,657 10,807,972 5,403,986 2,701,993 8,105,980 4,052,990 2,026,495 6,079,486 3,039,743 9,119,230 4,559,615 13,678,846 6,839,423 20,518,270 10,259,135 30,777,406 15,388,703 46,166,110 23,083,055 69,249,166 34,624,583 103,873,750 51,936,875 155,810,626 77,905,313 233,715,940 116,857,970 58,428,985 175,286,956 87,643,478 43,821,739 131,465,218 65,732,609 197,197,828 98,598,914 49,299,457 147,898,372 73,949,186 36,974,593 110,923,780 55,461,890

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