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Atlas › Integer Profiles › Node 2,014,142

2,014,142

2 × 132 × 59 × 101
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13^2 × 59 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,359,880
Proper Divisor Sum 1,345,738
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2014141 ← → #2014147

Radix Representation

Decimal 2014142
Binary 111101011101110111110 (21 bits)
Octal 0o7535676
Hexadecimal 0x1EBBBE

Divisor Catalog (24)

1 2 13 26 59 101 118 169 202 338 767 1,313 1,534 2,626 5,959 9,971 11,918 17,069 19,942 34,138 77,467 154,934 1,007,071 2,014,142

Collatz Trajectory (153 steps to reach 1)

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

2,014,142 1,007,071 3,021,214 1,510,607 4,531,822 2,265,911 6,797,734 3,398,867 10,196,602 5,098,301 15,294,904 7,647,452 3,823,726 1,911,863 5,735,590 2,867,795 8,603,386 4,301,693 12,905,080 6,452,540 3,226,270 1,613,135 4,839,406 2,419,703 7,259,110 3,629,555 10,888,666 5,444,333 16,333,000 8,166,500 4,083,250 2,041,625 6,124,876 3,062,438 1,531,219 4,593,658 2,296,829 6,890,488 3,445,244 1,722,622 861,311 2,583,934 1,291,967 3,875,902 1,937,951 5,813,854 2,906,927 8,720,782 4,360,391 13,081,174 6,540,587 19,621,762 9,810,881 29,432,644 14,716,322 7,358,161 22,074,484 11,037,242 5,518,621 16,555,864

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