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Atlas › Integer Profiles › Node 36,969,000

36,969,000

23 × 3 × 53 × 12323
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^3 × 12323
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 115,352,640
Proper Divisor Sum 78,383,640
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36968983 ← → #36969001

Radix Representation

Decimal 36969000
Binary 10001101000001101000101000 (26 bits)
Octal 0o215015050
Hexadecimal 0x2341A28

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1,000 1,500 3,000 12,323 24,646 36,969 49,292 61,615 73,938 98,584 123,230 147,876 184,845 246,460 295,752 308,075 369,690 492,920 616,150 739,380 924,225 1,232,300 1,478,760 1,540,375 1,848,450 2,464,600 3,080,750 3,696,900 4,621,125 6,161,500 7,393,800

Collatz Trajectory (152 steps to reach 1)

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

36,969,000 18,484,500 9,242,250 4,621,125 13,863,376 6,931,688 3,465,844 1,732,922 866,461 2,599,384 1,299,692 649,846 324,923 974,770 487,385 1,462,156 731,078 365,539 1,096,618 548,309 1,644,928 822,464 411,232 205,616 102,808 51,404 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

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