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Atlas › Integer Profiles › Node 42,519,087

42,519,087

34 × 13 × 149 × 271
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 13 × 149 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 69,115,200
Proper Divisor Sum 26,596,113
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #42519079 ← → #42519107

Radix Representation

Decimal 42519087
Binary 10100010001100101000101111 (26 bits)
Octal 0o242145057
Hexadecimal 0x288CA2F

Divisor Catalog (40)

1 3 9 13 27 39 81 117 149 271 351 447 813 1,053 1,341 1,937 2,439 3,523 4,023 5,811 7,317 10,569 12,069 17,433 21,951 31,707 40,379 52,299 95,121 121,137 156,897 285,363 363,411 524,927 1,090,233 1,574,781 3,270,699 4,724,343 14,173,029 42,519,087

Collatz Trajectory (173 steps to reach 1)

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

42,519,087 127,557,262 63,778,631 191,335,894 95,667,947 287,003,842 143,501,921 430,505,764 215,252,882 107,626,441 322,879,324 161,439,662 80,719,831 242,159,494 121,079,747 363,239,242 181,619,621 544,858,864 272,429,432 136,214,716 68,107,358 34,053,679 102,161,038 51,080,519 153,241,558 76,620,779 229,862,338 114,931,169 344,793,508 172,396,754 86,198,377 258,595,132 129,297,566 64,648,783 193,946,350 96,973,175 290,919,526 145,459,763 436,379,290 218,189,645 654,568,936 327,284,468 163,642,234 81,821,117 245,463,352 122,731,676 61,365,838 30,682,919 92,048,758 46,024,379 138,073,138 69,036,569 207,109,708 103,554,854 51,777,427 155,332,282 77,666,141 232,998,424 116,499,212 58,249,606

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