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Atlas › Integer Profiles › Node 4,017,618

4,017,618

2 × 32 × 11 × 103 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 103 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,637,056
Proper Divisor Sum 5,619,438
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4017599 ← → #4017623

Radix Representation

Decimal 4017618
Binary 1111010100110111010010 (22 bits)
Octal 0o17246722
Hexadecimal 0x3D4DD2

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 99 103 197 198 206 309 394 591 618 927 1,133 1,182 1,773 1,854 2,167 2,266 3,399 3,546 4,334 6,501 6,798 10,197 13,002 19,503 20,291 20,394 39,006 40,582 60,873 121,746 182,619 223,201 365,238 446,402 669,603 1,339,206 2,008,809 4,017,618

Collatz Trajectory (397 steps to reach 1)

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

4,017,618 2,008,809 6,026,428 3,013,214 1,506,607 4,519,822 2,259,911 6,779,734 3,389,867 10,169,602 5,084,801 15,254,404 7,627,202 3,813,601 11,440,804 5,720,402 2,860,201 8,580,604 4,290,302 2,145,151 6,435,454 3,217,727 9,653,182 4,826,591 14,479,774 7,239,887 21,719,662 10,859,831 32,579,494 16,289,747 48,869,242 24,434,621 73,303,864 36,651,932 18,325,966 9,162,983 27,488,950 13,744,475 41,233,426 20,616,713 61,850,140 30,925,070 15,462,535 46,387,606 23,193,803 69,581,410 34,790,705 104,372,116 52,186,058 26,093,029 78,279,088 39,139,544 19,569,772 9,784,886 4,892,443 14,677,330 7,338,665 22,015,996 11,007,998 5,503,999

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