λ
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Atlas › Integer Profiles › Node 4,668,014

4,668,014

2 × 13 × 29 × 41 × 151
Deficient Even Composite

4,668,014 factors as 2 × 13 × 29 × 41 × 151. Its 32 positive divisors give a proper-divisor sum of 3,375,826, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 41 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,043,840
Proper Divisor Sum 3,375,826
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4667989 ← → #4668023

Radix Representation

Decimal 4668014
Binary 10001110011101001101110 (23 bits)
Octal 0o21635156
Hexadecimal 0x473A6E

Divisor Catalog (32)

1 2 13 26 29 41 58 82 151 302 377 533 754 1,066 1,189 1,963 2,378 3,926 4,379 6,191 8,758 12,382 15,457 30,914 56,927 80,483 113,854 160,966 179,539 359,078 2,334,007 4,668,014

Collatz Trajectory (180 steps to reach 1)

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

4,668,014 2,334,007 7,002,022 3,501,011 10,503,034 5,251,517 15,754,552 7,877,276 3,938,638 1,969,319 5,907,958 2,953,979 8,861,938 4,430,969 13,292,908 6,646,454 3,323,227 9,969,682 4,984,841 14,954,524 7,477,262 3,738,631 11,215,894 5,607,947 16,823,842 8,411,921 25,235,764 12,617,882 6,308,941 18,926,824 9,463,412 4,731,706 2,365,853 7,097,560 3,548,780 1,774,390 887,195 2,661,586 1,330,793 3,992,380 1,996,190 998,095 2,994,286 1,497,143 4,491,430 2,245,715 6,737,146 3,368,573 10,105,720 5,052,860 2,526,430 1,263,215 3,789,646 1,894,823 5,684,470 2,842,235 8,526,706 4,263,353 12,790,060 6,395,030

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