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Atlas › Integer Profiles › Node 60,008,018

60,008,018

2 × 7 × 29 × 61 × 2423
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 29 × 61 × 2423
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 108,207,360
Proper Divisor Sum 48,199,342
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #60008017 ← → #60008021

Radix Representation

Decimal 60008018
Binary 11100100111010011001010010 (26 bits)
Octal 0o344723122
Hexadecimal 0x393A652

Divisor Catalog (32)

1 2 7 14 29 58 61 122 203 406 427 854 1,769 2,423 3,538 4,846 12,383 16,961 24,766 33,922 70,267 140,534 147,803 295,606 491,869 983,738 1,034,621 2,069,242 4,286,287 8,572,574 30,004,009 60,008,018

Collatz Trajectory (189 steps to reach 1)

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

60,008,018 30,004,009 90,012,028 45,006,014 22,503,007 67,509,022 33,754,511 101,263,534 50,631,767 151,895,302 75,947,651 227,842,954 113,921,477 341,764,432 170,882,216 85,441,108 42,720,554 21,360,277 64,080,832 32,040,416 16,020,208 8,010,104 4,005,052 2,002,526 1,001,263 3,003,790 1,501,895 4,505,686 2,252,843 6,758,530 3,379,265 10,137,796 5,068,898 2,534,449 7,603,348 3,801,674 1,900,837 5,702,512 2,851,256 1,425,628 712,814 356,407 1,069,222 534,611 1,603,834 801,917 2,405,752 1,202,876 601,438 300,719 902,158 451,079 1,353,238 676,619 2,029,858 1,014,929 3,044,788 1,522,394 761,197 2,283,592

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