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Atlas › Integer Profiles › Node 42,316,366

42,316,366

2 × 17 × 23 × 53 × 1021
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17 × 23 × 53 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,523,648
Proper Divisor Sum 29,207,282
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #42316331 ← → #42316369

Radix Representation

Decimal 42316366
Binary 10100001011011001001001110 (26 bits)
Octal 0o241331116
Hexadecimal 0x285B24E

Divisor Catalog (32)

1 2 17 23 34 46 53 106 391 782 901 1,021 1,219 1,802 2,042 2,438 17,357 20,723 23,483 34,714 41,446 46,966 54,113 108,226 399,211 798,422 919,921 1,244,599 1,839,842 2,489,198 21,158,183 42,316,366

Collatz Trajectory (204 steps to reach 1)

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

42,316,366 21,158,183 63,474,550 31,737,275 95,211,826 47,605,913 142,817,740 71,408,870 35,704,435 107,113,306 53,556,653 160,669,960 80,334,980 40,167,490 20,083,745 60,251,236 30,125,618 15,062,809 45,188,428 22,594,214 11,297,107 33,891,322 16,945,661 50,836,984 25,418,492 12,709,246 6,354,623 19,063,870 9,531,935 28,595,806 14,297,903 42,893,710 21,446,855 64,340,566 32,170,283 96,510,850 48,255,425 144,766,276 72,383,138 36,191,569 108,574,708 54,287,354 27,143,677 81,431,032 40,715,516 20,357,758 10,178,879 30,536,638 15,268,319 45,804,958 22,902,479 68,707,438 34,353,719 103,061,158 51,530,579 154,591,738 77,295,869 231,887,608 115,943,804 57,971,902

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