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Atlas › Integer Profiles › Node 45,891,755

45,891,755

5 × 7 × 13 × 172 × 349
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 13 × 17^2 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 72,206,400
Proper Divisor Sum 26,314,645
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #45891737 ← → #45891757

Radix Representation

Decimal 45891755
Binary 10101111000100000010101011 (26 bits)
Octal 0o257040253
Hexadecimal 0x2BC40AB

Divisor Catalog (48)

1 5 7 13 17 35 65 85 91 119 221 289 349 455 595 1,105 1,445 1,547 1,745 2,023 2,443 3,757 4,537 5,933 7,735 10,115 12,215 18,785 22,685 26,299 29,665 31,759 41,531 77,129 100,861 131,495 158,795 207,655 385,645 504,305 539,903 706,027 1,311,193 2,699,515 3,530,135 6,555,965 9,178,351 45,891,755

Collatz Trajectory (142 steps to reach 1)

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

45,891,755 137,675,266 68,837,633 206,512,900 103,256,450 51,628,225 154,884,676 77,442,338 38,721,169 116,163,508 58,081,754 29,040,877 87,122,632 43,561,316 21,780,658 10,890,329 32,670,988 16,335,494 8,167,747 24,503,242 12,251,621 36,754,864 18,377,432 9,188,716 4,594,358 2,297,179 6,891,538 3,445,769 10,337,308 5,168,654 2,584,327 7,752,982 3,876,491 11,629,474 5,814,737 17,444,212 8,722,106 4,361,053 13,083,160 6,541,580 3,270,790 1,635,395 4,906,186 2,453,093 7,359,280 3,679,640 1,839,820 919,910 459,955 1,379,866 689,933 2,069,800 1,034,900 517,450 258,725 776,176 388,088 194,044 97,022 48,511

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