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Atlas › Integer Profiles › Node 29,199,730

29,199,730

2 × 5 × 7 × 139 × 3001
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 139 × 3001
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,520,320
Proper Divisor Sum 31,320,590
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #29199707 ← → #29199763

Radix Representation

Decimal 29199730
Binary 1101111011000110101110010 (25 bits)
Octal 0o157306562
Hexadecimal 0x1BD8D72

Divisor Catalog (32)

1 2 5 7 10 14 35 70 139 278 695 973 1,390 1,946 3,001 4,865 6,002 9,730 15,005 21,007 30,010 42,014 105,035 210,070 417,139 834,278 2,085,695 2,919,973 4,171,390 5,839,946 14,599,865 29,199,730

Collatz Trajectory (175 steps to reach 1)

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

29,199,730 14,599,865 43,799,596 21,899,798 10,949,899 32,849,698 16,424,849 49,274,548 24,637,274 12,318,637 36,955,912 18,477,956 9,238,978 4,619,489 13,858,468 6,929,234 3,464,617 10,393,852 5,196,926 2,598,463 7,795,390 3,897,695 11,693,086 5,846,543 17,539,630 8,769,815 26,309,446 13,154,723 39,464,170 19,732,085 59,196,256 29,598,128 14,799,064 7,399,532 3,699,766 1,849,883 5,549,650 2,774,825 8,324,476 4,162,238 2,081,119 6,243,358 3,121,679 9,365,038 4,682,519 14,047,558 7,023,779 21,071,338 10,535,669 31,607,008 15,803,504 7,901,752 3,950,876 1,975,438 987,719 2,963,158 1,481,579 4,444,738 2,222,369 6,667,108

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