λ
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Atlas › Integer Profiles › Node 75,200,055

75,200,055

3 × 5 × 72 × 101 × 1013
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 101 × 1013
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 141,489,504
Proper Divisor Sum 66,289,449
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #75200033 ← → #75200071

Radix Representation

Decimal 75200055
Binary 100011110110111011000110111 (27 bits)
Octal 0o436673067
Hexadecimal 0x47B7637

Divisor Catalog (48)

1 3 5 7 15 21 35 49 101 105 147 245 303 505 707 735 1,013 1,515 2,121 3,039 3,535 4,949 5,065 7,091 10,605 14,847 15,195 21,273 24,745 35,455 49,637 74,235 102,313 106,365 148,911 248,185 306,939 511,565 716,191 744,555 1,534,695 2,148,573 3,580,955 5,013,337 10,742,865 15,040,011 25,066,685 75,200,055

Collatz Trajectory (241 steps to reach 1)

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

75,200,055 225,600,166 112,800,083 338,400,250 169,200,125 507,600,376 253,800,188 126,900,094 63,450,047 190,350,142 95,175,071 285,525,214 142,762,607 428,287,822 214,143,911 642,431,734 321,215,867 963,647,602 481,823,801 1,445,471,404 722,735,702 361,367,851 1,084,103,554 542,051,777 1,626,155,332 813,077,666 406,538,833 1,219,616,500 609,808,250 304,904,125 914,712,376 457,356,188 228,678,094 114,339,047 343,017,142 171,508,571 514,525,714 257,262,857 771,788,572 385,894,286 192,947,143 578,841,430 289,420,715 868,262,146 434,131,073 1,302,393,220 651,196,610 325,598,305 976,794,916 488,397,458 244,198,729 732,596,188 366,298,094 183,149,047 549,447,142 274,723,571 824,170,714 412,085,357 1,236,256,072 618,128,036

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