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Atlas › Integer Profiles › Node 52,279,779

52,279,779

3 × 29 × 37 × 109 × 149
Deficient Odd Composite

52,279,779 factors as 3 × 29 × 37 × 109 × 149. Its 32 positive divisors give a proper-divisor sum of 22,960,221, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3 × 29 × 37 × 109 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,240,000
Proper Divisor Sum 22,960,221
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #52279771 ← → #52279807

Radix Representation

Decimal 52279779
Binary 11000111011011100111100011 (26 bits)
Octal 0o307334743
Hexadecimal 0x31DB9E3

Divisor Catalog (32)

1 3 29 37 87 109 111 149 327 447 1,073 3,161 3,219 4,033 4,321 5,513 9,483 12,099 12,963 16,241 16,539 48,723 116,957 159,877 350,871 470,989 479,631 600,917 1,412,967 1,802,751 17,426,593 52,279,779

Collatz Trajectory (225 steps to reach 1)

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

52,279,779 156,839,338 78,419,669 235,259,008 117,629,504 58,814,752 29,407,376 14,703,688 7,351,844 3,675,922 1,837,961 5,513,884 2,756,942 1,378,471 4,135,414 2,067,707 6,203,122 3,101,561 9,304,684 4,652,342 2,326,171 6,978,514 3,489,257 10,467,772 5,233,886 2,616,943 7,850,830 3,925,415 11,776,246 5,888,123 17,664,370 8,832,185 26,496,556 13,248,278 6,624,139 19,872,418 9,936,209 29,808,628 14,904,314 7,452,157 22,356,472 11,178,236 5,589,118 2,794,559 8,383,678 4,191,839 12,575,518 6,287,759 18,863,278 9,431,639 28,294,918 14,147,459 42,442,378 21,221,189 63,663,568 31,831,784 15,915,892 7,957,946 3,978,973 11,936,920

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