λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,498,656
36,498,656
25 × 31 × 36793
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 31 × 36793
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 74,176,704
Proper Divisor Sum 37,678,048
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #36498653 ← → #36498667

Radix Representation

Decimal 36498656
Binary 10001011001110110011100000 (26 bits)
Octal 0o213166340
Hexadecimal 0x22CECE0

Divisor Catalog (24)

1 2 4 8 16 31 32 62 124 248 496 992 36,793 73,586 147,172 294,344 588,688 1,140,583 1,177,376 2,281,166 4,562,332 9,124,664 18,249,328 36,498,656

Collatz Trajectory (139 steps to reach 1)

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

36,498,656 18,249,328 9,124,664 4,562,332 2,281,166 1,140,583 3,421,750 1,710,875 5,132,626 2,566,313 7,698,940 3,849,470 1,924,735 5,774,206 2,887,103 8,661,310 4,330,655 12,991,966 6,495,983 19,487,950 9,743,975 29,231,926 14,615,963 43,847,890 21,923,945 65,771,836 32,885,918 16,442,959 49,328,878 24,664,439 73,993,318 36,996,659 110,989,978 55,494,989 166,484,968 83,242,484 41,621,242 20,810,621 62,431,864 31,215,932 15,607,966 7,803,983 23,411,950 11,705,975 35,117,926 17,558,963 52,676,890 26,338,445 79,015,336 39,507,668 19,753,834 9,876,917 29,630,752 14,815,376 7,407,688 3,703,844 1,851,922 925,961 2,777,884 1,388,942

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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