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Atlas › Integer Profiles › Node 36,734,180

36,734,180

22 × 5 × 7 × 262387
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 262387
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 88,162,368
Proper Divisor Sum 51,428,188
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #36734179 ← → #36734183

Radix Representation

Decimal 36734180
Binary 10001100001000010011100100 (26 bits)
Octal 0o214102344
Hexadecimal 0x23084E4

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 262,387 524,774 1,049,548 1,311,935 1,836,709 2,623,870 3,673,418 5,247,740 7,346,836 9,183,545 18,367,090 36,734,180

Collatz Trajectory (227 steps to reach 1)

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

36,734,180 18,367,090 9,183,545 27,550,636 13,775,318 6,887,659 20,662,978 10,331,489 30,994,468 15,497,234 7,748,617 23,245,852 11,622,926 5,811,463 17,434,390 8,717,195 26,151,586 13,075,793 39,227,380 19,613,690 9,806,845 29,420,536 14,710,268 7,355,134 3,677,567 11,032,702 5,516,351 16,549,054 8,274,527 24,823,582 12,411,791 37,235,374 18,617,687 55,853,062 27,926,531 83,779,594 41,889,797 125,669,392 62,834,696 31,417,348 15,708,674 7,854,337 23,563,012 11,781,506 5,890,753 17,672,260 8,836,130 4,418,065 13,254,196 6,627,098 3,313,549 9,940,648 4,970,324 2,485,162 1,242,581 3,727,744 1,863,872 931,936 465,968 232,984

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