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Atlas › Integer Profiles › Node 4,136,034

4,136,034

2 × 3 × 7 × 19 × 71 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 19 × 71 × 73
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,229,760
Proper Divisor Sum 6,093,726
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4136029 ← → #4136057

Radix Representation

Decimal 4136034
Binary 1111110001110001100010 (22 bits)
Octal 0o17616142
Hexadecimal 0x3F1C62

Divisor Catalog (60 of 64)

1 2 3 6 7 14 19 21 38 42 57 71 73 114 133 142 146 213 219 266 399 426 438 497 511 798 994 1,022 1,349 1,387 1,491 1,533 2,698 2,774 2,982 3,066 4,047 4,161 5,183 8,094 8,322 9,443 9,709 10,366 15,549 18,886 19,418 28,329 29,127 31,098 36,281 56,658 58,254 72,562 98,477 108,843 196,954 217,686 295,431 590,862

Collatz Trajectory (304 steps to reach 1)

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

4,136,034 2,068,017 6,204,052 3,102,026 1,551,013 4,653,040 2,326,520 1,163,260 581,630 290,815 872,446 436,223 1,308,670 654,335 1,963,006 981,503 2,944,510 1,472,255 4,416,766 2,208,383 6,625,150 3,312,575 9,937,726 4,968,863 14,906,590 7,453,295 22,359,886 11,179,943 33,539,830 16,769,915 50,309,746 25,154,873 75,464,620 37,732,310 18,866,155 56,598,466 28,299,233 84,897,700 42,448,850 21,224,425 63,673,276 31,836,638 15,918,319 47,754,958 23,877,479 71,632,438 35,816,219 107,448,658 53,724,329 161,172,988 80,586,494 40,293,247 120,879,742 60,439,871 181,319,614 90,659,807 271,979,422 135,989,711 407,969,134 203,984,567

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