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Atlas › Integer Profiles › Node 29,244,530

29,244,530

2 × 5 × 7 × 59 × 73 × 97
Abundant Even Composite

29,244,530 factors as 2 × 5 × 7 × 59 × 73 × 97. Its 64 positive divisors give a proper-divisor sum of 33,412,750, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 59 × 73 × 97
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 62,657,280
Proper Divisor Sum 33,412,750
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #29244511 ← → #29244533

Radix Representation

Decimal 29244530
Binary 1101111100011110001110010 (25 bits)
Octal 0o157436162
Hexadecimal 0x1BE3C72

Divisor Catalog (60 of 64)

1 2 5 7 10 14 35 59 70 73 97 118 146 194 295 365 413 485 511 590 679 730 826 970 1,022 1,358 2,065 2,555 3,395 4,130 4,307 5,110 5,723 6,790 7,081 8,614 11,446 14,162 21,535 28,615 30,149 35,405 40,061 43,070 49,567 57,230 60,298 70,810 80,122 99,134 150,745 200,305 247,835 301,490 400,610 417,779 495,670 835,558 2,088,895 2,924,453

Collatz Trajectory (100 steps to reach 1)

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

29,244,530 14,622,265 43,866,796 21,933,398 10,966,699 32,900,098 16,450,049 49,350,148 24,675,074 12,337,537 37,012,612 18,506,306 9,253,153 27,759,460 13,879,730 6,939,865 20,819,596 10,409,798 5,204,899 15,614,698 7,807,349 23,422,048 11,711,024 5,855,512 2,927,756 1,463,878 731,939 2,195,818 1,097,909 3,293,728 1,646,864 823,432 411,716 205,858 102,929 308,788 154,394 77,197 231,592 115,796 57,898 28,949 86,848 43,424 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862

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