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Atlas › Integer Profiles › Node 4,068,636

4,068,636

22 × 3 × 11 × 13 × 2371
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 13 × 2371
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,157,888
Proper Divisor Sum 7,089,252
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4068619 ← → #4068653

Radix Representation

Decimal 4068636
Binary 1111100001010100011100 (22 bits)
Octal 0o17412434
Hexadecimal 0x3E151C

Divisor Catalog (48)

1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1,716 2,371 4,742 7,113 9,484 14,226 26,081 28,452 30,823 52,162 61,646 78,243 92,469 104,324 123,292 156,486 184,938 312,972 339,053 369,876 678,106 1,017,159 1,356,212 2,034,318 4,068,636

Collatz Trajectory (198 steps to reach 1)

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

4,068,636 2,034,318 1,017,159 3,051,478 1,525,739 4,577,218 2,288,609 6,865,828 3,432,914 1,716,457 5,149,372 2,574,686 1,287,343 3,862,030 1,931,015 5,793,046 2,896,523 8,689,570 4,344,785 13,034,356 6,517,178 3,258,589 9,775,768 4,887,884 2,443,942 1,221,971 3,665,914 1,832,957 5,498,872 2,749,436 1,374,718 687,359 2,062,078 1,031,039 3,093,118 1,546,559 4,639,678 2,319,839 6,959,518 3,479,759 10,439,278 5,219,639 15,658,918 7,829,459 23,488,378 11,744,189 35,232,568 17,616,284 8,808,142 4,404,071 13,212,214 6,606,107 19,818,322 9,909,161 29,727,484 14,863,742 7,431,871 22,295,614 11,147,807 33,443,422

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