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Atlas › Integer Profiles › Node 4,014,834

4,014,834

2 × 3 × 23 × 47 × 619
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 23 × 47 × 619
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,570,880
Proper Divisor Sum 4,556,046
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4014827 ← → #4014863

Radix Representation

Decimal 4014834
Binary 1111010100001011110010 (22 bits)
Octal 0o17241362
Hexadecimal 0x3D42F2

Divisor Catalog (32)

1 2 3 6 23 46 47 69 94 138 141 282 619 1,081 1,238 1,857 2,162 3,243 3,714 6,486 14,237 28,474 29,093 42,711 58,186 85,422 87,279 174,558 669,139 1,338,278 2,007,417 4,014,834

Collatz Trajectory (167 steps to reach 1)

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

4,014,834 2,007,417 6,022,252 3,011,126 1,505,563 4,516,690 2,258,345 6,775,036 3,387,518 1,693,759 5,081,278 2,540,639 7,621,918 3,810,959 11,432,878 5,716,439 17,149,318 8,574,659 25,723,978 12,861,989 38,585,968 19,292,984 9,646,492 4,823,246 2,411,623 7,234,870 3,617,435 10,852,306 5,426,153 16,278,460 8,139,230 4,069,615 12,208,846 6,104,423 18,313,270 9,156,635 27,469,906 13,734,953 41,204,860 20,602,430 10,301,215 30,903,646 15,451,823 46,355,470 23,177,735 69,533,206 34,766,603 104,299,810 52,149,905 156,449,716 78,224,858 39,112,429 117,337,288 58,668,644 29,334,322 14,667,161 44,001,484 22,000,742 11,000,371 33,001,114

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