λ
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Atlas › Integer Profiles › Node 36,734,130

36,734,130

2 × 32 × 5 × 431 × 947
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 431 × 947
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 95,831,424
Proper Divisor Sum 59,097,294
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36734129 ← → #36734171

Radix Representation

Decimal 36734130
Binary 10001100001000010010110010 (26 bits)
Octal 0o214102262
Hexadecimal 0x23084B2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 431 862 947 1,293 1,894 2,155 2,586 2,841 3,879 4,310 4,735 5,682 6,465 7,758 8,523 9,470 12,930 14,205 17,046 19,395 28,410 38,790 42,615 85,230 408,157 816,314 1,224,471 2,040,785 2,448,942 3,673,413 4,081,570 6,122,355 7,346,826 12,244,710 18,367,065 36,734,130

Collatz Trajectory (227 steps to reach 1)

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

36,734,130 18,367,065 55,101,196 27,550,598 13,775,299 41,325,898 20,662,949 61,988,848 30,994,424 15,497,212 7,748,606 3,874,303 11,622,910 5,811,455 17,434,366 8,717,183 26,151,550 13,075,775 39,227,326 19,613,663 58,840,990 29,420,495 88,261,486 44,130,743 132,392,230 66,196,115 198,588,346 99,294,173 297,882,520 148,941,260 74,470,630 37,235,315 111,705,946 55,852,973 167,558,920 83,779,460 41,889,730 20,944,865 62,834,596 31,417,298 15,708,649 47,125,948 23,562,974 11,781,487 35,344,462 17,672,231 53,016,694 26,508,347 79,525,042 39,762,521 119,287,564 59,643,782 29,821,891 89,465,674 44,732,837 134,198,512 67,099,256 33,549,628 16,774,814 8,387,407

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